Bennett-Tennenhaus, R.; Haugland, J.; Sandøy, M. H.; Shah, A. The category of extensions and idempotent completion. (English) Zbl 07912306 Theory Appl. Categ. 41, 1077-1107 (2024). MSC: 18E05 18E10 18G80 18N10 18G99 PDFBibTeX XMLCite \textit{R. Bennett-Tennenhaus} et al., Theory Appl. Categ. 41, 1077--1107 (2024; Zbl 07912306) Full Text: arXiv Link
Cheng, Eugenia; Corner, Alexander S. Weak vertical composition. (English) Zbl 07902418 Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 222-262 (2024). MSC: 18D05 18C15 PDFBibTeX XMLCite \textit{E. Cheng} and \textit{A. S. Corner}, Theory Appl. Categ. 42, 222--262 (2024; Zbl 07902418) Full Text: arXiv Link
Hofstra, Pieter; Karvonen, Martti Inner automorphisms as 2-cells. (English) Zbl 07902410 Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 19-40 (2024). MSC: 18A30 18G45 18N10 PDFBibTeX XMLCite \textit{P. Hofstra} and \textit{M. Karvonen}, Theory Appl. Categ. 42, 19--40 (2024; Zbl 07902410) Full Text: arXiv Link
Lack, Stephen; Miranda, Adrian What is the universal property of the 2-category of monads? (English) Zbl 07902409 Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 2-18 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18C15 18C20 18D20 18N10 18A35 PDFBibTeX XMLCite \textit{S. Lack} and \textit{A. Miranda}, Theory Appl. Categ. 42, 2--18 (2024; Zbl 07902409) Full Text: arXiv Link
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa Applying projective functors to arbitrary holonomic simple modules. (English) Zbl 07900387 J. Lond. Math. Soc., II. Ser. 110, No. 2, Article ID e12965, 29 p. (2024). MSC: 17B10 16G99 18N10 PDFBibTeX XMLCite \textit{M. Mackaay} et al., J. Lond. Math. Soc., II. Ser. 110, No. 2, Article ID e12965, 29 p. (2024; Zbl 07900387) Full Text: DOI arXiv OA License
Mesiti, Luca Pointwise Kan extensions along 2-fibrations and the 2-category of elements. (English) Zbl 07898689 Theory Appl. Categ. 41, 960-994 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D30 18A40 18A30 18A25 18N10 PDFBibTeX XMLCite \textit{L. Mesiti}, Theory Appl. Categ. 41, 960--994 (2024; Zbl 07898689) Full Text: arXiv Link
Caviglia, Elena; Mesiti, Luca Indexed Grothendieck construction. (English) Zbl 07898687 Theory Appl. Categ. 41, 894-926 (2024). MSC: 18D30 18N10 18F20 18B25 18A30 PDFBibTeX XMLCite \textit{E. Caviglia} and \textit{L. Mesiti}, Theory Appl. Categ. 41, 894--926 (2024; Zbl 07898687) Full Text: arXiv Link
Clarke, Bryce Lifting twisted coreflections against delta lenses. (English) Zbl 07898685 Theory Appl. Categ. 41, 838-877 (2024). MSC: 18A32 18A40 18C15 18D30 18N10 PDFBibTeX XMLCite \textit{B. Clarke}, Theory Appl. Categ. 41, 838--877 (2024; Zbl 07898685) Full Text: arXiv Link
Fomatati, Yves Baudelaire A note on the bicategory of Landau-Ginzburg models \((\mathcal{LG}_K)\). (English) Zbl 07890964 Surv. Math. Appl. 19, 1-40 (2024). MSC: 15A23 18N10 PDFBibTeX XMLCite \textit{Y. B. Fomatati}, Surv. Math. Appl. 19, 1--40 (2024; Zbl 07890964) Full Text: arXiv Link
Orendain, Juan; Maldonado-Herrera, José Rubén Internalizations of decorated bicategories via \(\pi_2\)-indexings. (English) Zbl 07888716 Appl. Categ. Struct. 32, No. 4, Paper No. 16, 27 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 PDFBibTeX XMLCite \textit{J. Orendain} and \textit{J. R. Maldonado-Herrera}, Appl. Categ. Struct. 32, No. 4, Paper No. 16, 27 p. (2024; Zbl 07888716) Full Text: DOI arXiv OA License
Barhite, Justin Bicategorical traces and cotraces. (English) Zbl 07883978 Theory Appl. Categ. 41, 707-759 (2024). MSC: 16D90 18D15 18M05 18M30 18N10 PDFBibTeX XMLCite \textit{J. Barhite}, Theory Appl. Categ. 41, 707--759 (2024; Zbl 07883978) Full Text: arXiv Link
Hofstra, Pieter; Karvonen, Martti Inner autoequivalences in general and those of monoidal categories in particular. (English) Zbl 07873749 J. Pure Appl. Algebra 228, No. 11, Article ID 107717, 44 p. (2024). Reviewer: Nicolas Blanco (Birmingham) MSC: 18G45 18M05 18N10 PDFBibTeX XMLCite \textit{P. Hofstra} and \textit{M. Karvonen}, J. Pure Appl. Algebra 228, No. 11, Article ID 107717, 44 p. (2024; Zbl 07873749) Full Text: DOI arXiv
Ruit, Jaco A pasting theorem for iterated Segal spaces. (English) Zbl 07873744 J. Pure Appl. Algebra 228, No. 11, Article ID 107712, 44 p. (2024). MSC: 18N65 55U35 18N10 18N50 PDFBibTeX XMLCite \textit{J. Ruit}, J. Pure Appl. Algebra 228, No. 11, Article ID 107712, 44 p. (2024; Zbl 07873744) Full Text: DOI arXiv
Décoppet, Thibault D.; Xu, Hao Local modules in braided monoidal 2-categories. (English) Zbl 07873517 J. Math. Phys. 65, No. 6, Article ID 061702, 32 p. (2024). MSC: 18N10 18M15 18M05 18M20 PDFBibTeX XMLCite \textit{T. D. Décoppet} and \textit{H. Xu}, J. Math. Phys. 65, No. 6, Article ID 061702, 32 p. (2024; Zbl 07873517) Full Text: DOI arXiv
Fiore, Marcelo; Galal, Zeinab; Paquet, Hugo Stabilized profunctors and stable species of structures. (English) Zbl 07872342 Log. Methods Comput. Sci. 20, No. 1, Paper No. 17, 50 p. (2024). MSC: 03B70 68-XX PDFBibTeX XMLCite \textit{M. Fiore} et al., Log. Methods Comput. Sci. 20, No. 1, Paper No. 17, 50 p. (2024; Zbl 07872342) Full Text: DOI arXiv
Barrett, John W.; Meusburger, Catherine; Schaumann, Gregor Gray categories with duals and their diagrams. (English) Zbl 07872169 Adv. Math. 450, Article ID 109740, 129 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18M30 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Adv. Math. 450, Article ID 109740, 129 p. (2024; Zbl 07872169) Full Text: DOI arXiv
Farsi, Carla; Scull, Laura; Watts, Jordan Bicategories of action groupoids. (English) Zbl 07870820 Appl. Categ. Struct. 32, No. 3, Paper No. 13, 26 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18B10 18B40 57S15 PDFBibTeX XMLCite \textit{C. Farsi} et al., Appl. Categ. Struct. 32, No. 3, Paper No. 13, 26 p. (2024; Zbl 07870820) Full Text: DOI arXiv
Stroiński, Mateusz Module categories, internal bimodules, and Tambara modules. (English) Zbl 07862383 Proc. Lond. Math. Soc. (3) 128, No. 5, Article ID e12596, 84 p. (2024). MSC: 18N10 18N25 18M10 18M20 PDFBibTeX XMLCite \textit{M. Stroiński}, Proc. Lond. Math. Soc. (3) 128, No. 5, Article ID e12596, 84 p. (2024; Zbl 07862383) Full Text: DOI arXiv OA License
Arkor, Nathanael; Di Liberti, Ivan; Loregian, Fosco Adjoint functor theorems for lax-idempotent pseudomonads. (English) Zbl 07861999 Theory Appl. Categ. 41, 667-685 (2024). Reviewer: Nima Rasekh (Bonn) MSC: 18D70 18D65 18C15 18A35 18A40 18D20 18N10 PDFBibTeX XMLCite \textit{N. Arkor} et al., Theory Appl. Categ. 41, 667--685 (2024; Zbl 07861999) Full Text: arXiv Link
Angulo, Camilo Towards a new cohomology theory for strict Lie 2-groups. (English) Zbl 07861998 Theory Appl. Categ. 41, 593-666 (2024). MSC: 17B56 18D05 22A22 PDFBibTeX XMLCite \textit{C. Angulo}, Theory Appl. Categ. 41, 593--666 (2024; Zbl 07861998) Full Text: arXiv Link
Štěpán, Miloslav Factorization systems and double categories. (English) Zbl 07861997 Theory Appl. Categ. 41, 551-592 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18A32 18B10 18M05 18N10 18N15 PDFBibTeX XMLCite \textit{M. Štěpán}, Theory Appl. Categ. 41, 551--592 (2024; Zbl 07861997) Full Text: arXiv Link
Clementino, Maria Manuel; Lucatelli Nunes, Fernando; Prezado, Rui Lax comma categories: Cartesian closedness, extensivity, topologicity, and descent. (English) Zbl 07861995 Theory Appl. Categ. 41, 516-530 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N15 18A05 18A22 18A40 PDFBibTeX XMLCite \textit{M. M. Clementino} et al., Theory Appl. Categ. 41, 516--530 (2024; Zbl 07861995) Full Text: arXiv Link
Dubuc, E.duardo J.; Girabel, Jaqueline The 2-localization of a model category. (English) Zbl 07861993 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 537-574 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N40 18N55 PDFBibTeX XMLCite \textit{E. d. J. Dubuc} and \textit{J. Girabel}, Theory Appl. Categ. 40, 537--574 (2024; Zbl 07861993) Full Text: arXiv Link
Di Liberti, Ivan; Lobbia, Gabriele; Sousa, Lurdes KZ-pseudomonads and Kan injectivity. (English) Zbl 07861991 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 430-478 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D70 18D65 18N10 18N15 PDFBibTeX XMLCite \textit{I. Di Liberti} et al., Theory Appl. Categ. 40, 430--478 (2024; Zbl 07861991) Full Text: arXiv Link
Fujii, Soichiro; Lack, Stephen The oplax limit of an enriched category. (English) Zbl 07861989 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 390-412 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D20 18N10 PDFBibTeX XMLCite \textit{S. Fujii} and \textit{S. Lack}, Theory Appl. Categ. 40, 390--412 (2024; Zbl 07861989) Full Text: arXiv Link
Kaufmann, Ralph M.; Monaco, Michael Plethysm products, element – and plus constructions. (Produits plethysmatiques, construction d’éléments et construction plus.) (English. French summary) Zbl 1539.18023 C. R., Math., Acad. Sci. Paris 362, 357-411 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M60 18M05 18N10 55P35 55P48 PDFBibTeX XMLCite \textit{R. M. Kaufmann} and \textit{M. Monaco}, C. R., Math., Acad. Sci. Paris 362, 357--411 (2024; Zbl 1539.18023) Full Text: DOI arXiv
Gambino, Nicola; Garner, Richard; Vasilakopoulou, Christina Monoidal Kleisli bicategories and the arithmetic product of coloured symmetric sequences. (English) Zbl 07854022 Doc. Math. 29, No. 3, 627-702 (2024). MSC: 18N10 18N15 18M80 18C20 18M05 PDFBibTeX XMLCite \textit{N. Gambino} et al., Doc. Math. 29, No. 3, 627--702 (2024; Zbl 07854022) Full Text: DOI arXiv OA License
Ko, Joanna; Meyer, Ralf Existence of groupoid models for diagrams of groupoid correspondences. (English) Zbl 1537.18002 Theory Appl. Categ. 41, 449-469 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18A30 18N10 18B40 PDFBibTeX XMLCite \textit{J. Ko} and \textit{R. Meyer}, Theory Appl. Categ. 41, 449--469 (2024; Zbl 1537.18002) Full Text: arXiv Link
Emmenegger, Jacopo; Mesiti, Luca; Rosolini, Giuseppe; Streicher, Thomas A comonad for Grothendieck fibrations. (English) Zbl 1537.18030 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 371-389 (2024). Reviewer: Nima Rasekh (Bonn) MSC: 18N45 03G30 18N10 PDFBibTeX XMLCite \textit{J. Emmenegger} et al., Theory Appl. Categ. 40, 371--389 (2024; Zbl 1537.18030) Full Text: arXiv Link
Clementino, Maria Manuel; Lucatelli Nunes, Fernando Lax comma 2-categories and admissible 2-functors. (English) Zbl 1537.18028 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 180-226 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N15 18A05 18A22 18A40 PDFBibTeX XMLCite \textit{M. M. Clementino} and \textit{F. Lucatelli Nunes}, Theory Appl. Categ. 40, 180--226 (2024; Zbl 1537.18028) Full Text: arXiv Link
Forero, Wilson The Gálvez-Carrillo-Kock-Tonks conjecture for locally discrete decomposition spaces. (English) Zbl 1536.18015 Commun. Contemp. Math. 26, No. 4, Article ID 2350011, 54 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N50 06A11 16T15 PDFBibTeX XMLCite \textit{W. Forero}, Commun. Contemp. Math. 26, No. 4, Article ID 2350011, 54 p. (2024; Zbl 1536.18015) Full Text: DOI arXiv
Lambert, Michael; Patterson, Evan Cartesian double theories: a double-categorical framework for categorical doctrines. (English) Zbl 07837853 Adv. Math. 444, Article ID 109630, 119 p. (2024). MSC: 03G30 18N10 PDFBibTeX XMLCite \textit{M. Lambert} and \textit{E. Patterson}, Adv. Math. 444, Article ID 109630, 119 p. (2024; Zbl 07837853) Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa Kostant’s problem for fully commutative permutations. (English) Zbl 07835931 Rev. Mat. Iberoam. 40, No. 2, 537-563 (2024). MSC: 17B10 18N10 PDFBibTeX XMLCite \textit{M. Mackaay} et al., Rev. Mat. Iberoam. 40, No. 2, 537--563 (2024; Zbl 07835931) Full Text: DOI arXiv OA License
Osmond, Axel Codescent and bicolimits of pseudo-algebras. (English) Zbl 07833143 Appl. Categ. Struct. 32, No. 2, Paper No. 11, 56 p. (2024). MSC: 18N15 18N10 18C15 PDFBibTeX XMLCite \textit{A. Osmond}, Appl. Categ. Struct. 32, No. 2, Paper No. 11, 56 p. (2024; Zbl 07833143) Full Text: DOI arXiv
Koudenburg, Seerp Roald Formal category theory in augmented virtual double categories. (English) Zbl 07828996 Theory Appl. Categ. 41, 288-413 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D65 18D70 18N10 PDFBibTeX XMLCite \textit{S. R. Koudenburg}, Theory Appl. Categ. 41, 288--413 (2024; Zbl 07828996) Full Text: arXiv Link
Niefield, Susan Cartesian closed double categories. (English) Zbl 1539.18027 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 63-79 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18D15 18B10 18F75 54C35 PDFBibTeX XMLCite \textit{S. Niefield}, Theory Appl. Categ. 40, 63--79 (2024; Zbl 1539.18027) Full Text: Link
Nikolić, Branko; Street, Ross Monoidal centres and groupoid-graded categories. (English) Zbl 1539.18019 Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 3-31 (2024). Reviewer: Nicolas Blanco (Birmingham) MSC: 18M15 18N10 18D15 18D20 18D60 57K16 57K31 PDFBibTeX XMLCite \textit{B. Nikolić} and \textit{R. Street}, Theory Appl. Categ. 40, 3--31 (2024; Zbl 1539.18019) Full Text: arXiv Link
Chen, Quan Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules. (English) Zbl 07822929 Doc. Math. 29, No. 2, 247-341 (2024). Reviewer: Tobias Fritz (Innsbruck) MSC: 18M20 18M30 18N10 46L37 PDFBibTeX XMLCite \textit{Q. Chen}, Doc. Math. 29, No. 2, 247--341 (2024; Zbl 07822929) Full Text: DOI arXiv OA License
Kimura, Tetsuji; Sasaki, Shin; Shiozawa, Kenta On geometries and monodromies for branes of codimension two. (English) Zbl 07816653 Phys. Lett., B 849, Article ID 138425, 6 p. (2024). MSC: 81T30 14D05 83F05 70S15 53E10 18N10 PDFBibTeX XMLCite \textit{T. Kimura} et al., Phys. Lett., B 849, Article ID 138425, 6 p. (2024; Zbl 07816653) Full Text: DOI arXiv OA License
Nuiten, Joost On straightening for Segal spaces. (English) Zbl 1533.18023 Compos. Math. 160, No. 3, 586-656 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N65 18N10 18D30 PDFBibTeX XMLCite \textit{J. Nuiten}, Compos. Math. 160, No. 3, 586--656 (2024; Zbl 1533.18023) Full Text: DOI arXiv OA License
Khovanov, Mikhail; Qi, You; Sussan, Joshua \(p\)-DG cyclotomic nilHecke algebras. (English) Zbl 07807564 Memoirs of the American Mathematical Society 1462. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6871-2/pbk; 978-1-4704-7719-6/ebook). v, 94 p. (2024). MSC: 16-02 16T20 17B10 17B37 18N10 18N25 20G42 PDFBibTeX XMLCite \textit{M. Khovanov} et al., \(p\)-DG cyclotomic nilHecke algebras. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07807564) Full Text: DOI arXiv
Prezado, Rui On effective descent \(\mathcal{V}\)-functors and familial descent morphisms. (English) Zbl 1532.18012 J. Pure Appl. Algebra 228, No. 5, Article ID 107597, 21 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18F20 18D20 18B50 18A25 18A35 PDFBibTeX XMLCite \textit{R. Prezado}, J. Pure Appl. Algebra 228, No. 5, Article ID 107597, 21 p. (2024; Zbl 1532.18012) Full Text: DOI arXiv OA License
Pavlov, Dmitri The enriched Thomason model structure on 2-categories. (English) Zbl 1532.18015 J. Pure Appl. Algebra 228, No. 5, Article ID 107496, 23 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N40 18N60 18N70 18N10 18N50 PDFBibTeX XMLCite \textit{D. Pavlov}, J. Pure Appl. Algebra 228, No. 5, Article ID 107496, 23 p. (2024; Zbl 1532.18015) Full Text: DOI arXiv
Ozornova, Viktoriya; Rovelli, Martina What is an equivalence in a higher category? (English) Zbl 1535.18035 Bull. Lond. Math. Soc. 56, No. 1, 1-58 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N30 18N60 18N65 18N40 PDFBibTeX XMLCite \textit{V. Ozornova} and \textit{M. Rovelli}, Bull. Lond. Math. Soc. 56, No. 1, 1--58 (2024; Zbl 1535.18035) Full Text: DOI arXiv OA License
Décoppet, Thibault D. The 2-Deligne tensor product. (English) Zbl 1530.18024 Kyoto J. Math. 64, No. 1, 1-29 (2024). Reviewer: Tony Zorman (Dresden) MSC: 18M20 18N25 18M05 18N10 PDFBibTeX XMLCite \textit{T. D. Décoppet}, Kyoto J. Math. 64, No. 1, 1--29 (2024; Zbl 1530.18024) Full Text: DOI arXiv
Johnson-Freyd, Theo; Reutter, David Minimal nondegenerate extensions. (English) Zbl 1522.18030 J. Am. Math. Soc. 37, No. 1, 81-150 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 18M15 18N10 PDFBibTeX XMLCite \textit{T. Johnson-Freyd} and \textit{D. Reutter}, J. Am. Math. Soc. 37, No. 1, 81--150 (2024; Zbl 1522.18030) Full Text: DOI arXiv
Ruit, Jaco Formal category theory in \(\infty\)-equipments II: Lax functors, monoidality and fibrations. arXiv:2408.15190 Preprint, arXiv:2408.15190 [math.CT] (2024). MSC: 18D65 18D70 18N65 55U35 18N10 BibTeX Cite \textit{J. Ruit}, ``Formal category theory in $\infty$-equipments II: Lax functors, monoidality and fibrations'', Preprint, arXiv:2408.15190 [math.CT] (2024) Full Text: arXiv OA License
Ruit, Jaco On functor double \(\infty\)-categories. arXiv:2408.14335 Preprint, arXiv:2408.14335 [math.CT] (2024). MSC: 18N65 55U35 18N10 BibTeX Cite \textit{J. Ruit}, ``On functor double $\infty$-categories'', Preprint, arXiv:2408.14335 [math.CT] (2024) Full Text: arXiv OA License
Zhong, Wei; Zhang, Tao Wells exact sequence for automorphisms and derivations of Leibniz 2-algebras. arXiv:2408.09971 Preprint, arXiv:2408.09971 [math.RA] (2024). MSC: 17A32 18N10 BibTeX Cite \textit{W. Zhong} and \textit{T. Zhang}, ``Wells exact sequence for automorphisms and derivations of Leibniz 2-algebras'', Preprint, arXiv:2408.09971 [math.RA] (2024) Full Text: arXiv OA License
Bilich, Boris; Dor-On, Adam; Ruiz, Efren Equivariant homotopy classification of graph C*-algebras. arXiv:2408.09740 Preprint, arXiv:2408.09740 [math.OA] (2024). MSC: 46L55 46M15 37B10 46L35 18N10 BibTeX Cite \textit{B. Bilich} et al., ``Equivariant homotopy classification of graph C*-algebras'', Preprint, arXiv:2408.09740 [math.OA] (2024) Full Text: arXiv OA License
Moser, Lyne; Rovelli, Martina; Rasekh, Nima \((\infty,n)\)-Limits II: Comparison across models. arXiv:2408.04742 Preprint, arXiv:2408.04742 [math.AT] (2024). MSC: 18A30 18N65 18A35 18N10 18N60 55U35 BibTeX Cite \textit{L. Moser} et al., ``$(\infty,n)$-Limits II: Comparison across models'', Preprint, arXiv:2408.04742 [math.AT] (2024) Full Text: arXiv OA License
Asashiba, Hideto; Pan, Shengyong Cohen-Montgomery duality for bimodules and singular equivalences of Morita type. arXiv:2408.03280 Preprint, arXiv:2408.03280 [math.RT] (2024). MSC: 18D05 16W22 16W50 BibTeX Cite \textit{H. Asashiba} and \textit{S. Pan}, ``Cohen-Montgomery duality for bimodules and singular equivalences of Morita type'', Preprint, arXiv:2408.03280 [math.RT] (2024) Full Text: arXiv OA License
Femić, Bojana Gray (skew) multicategories: double and Gray-categorical cases. arXiv:2408.00561 Preprint, arXiv:2408.00561 [math.CT] (2024). MSC: 18N20 18N10 BibTeX Cite \textit{B. Femić}, ``Gray (skew) multicategories: double and Gray-categorical cases'', Preprint, arXiv:2408.00561 [math.CT] (2024) Full Text: arXiv OA License
Kemp, Cameron; Laugwitz, Robert; Schenkel, Alexander Infinitesimal 2-braidings from 2-shifted Poisson structures. arXiv:2408.00391 Preprint, arXiv:2408.00391 [math.QA] (2024). MSC: 14A30 17B37 18N10 53D55 BibTeX Cite \textit{C. Kemp} et al., ``Infinitesimal 2-braidings from 2-shifted Poisson structures'', Preprint, arXiv:2408.00391 [math.QA] (2024) Full Text: arXiv OA License
Chirvasitu, Alexandru Quantum group coproducts and universality under scalar extensions. arXiv:2407.20154 Preprint, arXiv:2407.20154 [math.QA] (2024). MSC: 16T05 16T15 18A30 12F05 14L30 20G15 16T20 18N10 18C15 18C20 BibTeX Cite \textit{A. Chirvasitu}, ``Quantum group coproducts and universality under scalar extensions'', Preprint, arXiv:2407.20154 [math.QA] (2024) Full Text: arXiv OA License
Helfer, Joseph Internal 1-topoi in 2-topoi. arXiv:2407.19358 Preprint, arXiv:2407.19358 [math.CT] (2024). MSC: 18B25 03G30 18N10 18N25 BibTeX Cite \textit{J. Helfer}, ``Internal 1-topoi in 2-topoi'', Preprint, arXiv:2407.19358 [math.CT] (2024) Full Text: arXiv OA License
Frabetti, Alessandra; Kravchenko, Olga; Ryvkin, Leonid Poisson bundles over unordered configurations. arXiv:2407.15287 Preprint, arXiv:2407.15287 [math-ph] (2024). MSC: 17B63 18N10 14D21 70S99 BibTeX Cite \textit{A. Frabetti} et al., ``Poisson bundles over unordered configurations'', Preprint, arXiv:2407.15287 [math-ph] (2024) Full Text: arXiv OA License
Martins-Ferreira, Nelson On categories with arbitrary 2-cell structures. arXiv:2406.08240 Preprint, arXiv:2406.08240 [math.CT] (2024). MSC: 18N10 18N20 16D20 BibTeX Cite \textit{N. Martins-Ferreira}, ``On categories with arbitrary 2-cell structures'', Preprint, arXiv:2406.08240 [math.CT] (2024) Full Text: arXiv OA License
Shapiro, Brandon T.; Spivak, David I. A Polynomial Construction of Nerves for Higher Categories. arXiv:2405.13157 Preprint, arXiv:2405.13157 [math.CT] (2024). MSC: 18C10 18C15 18C20 18D15 18D70 18M05 18N10 18N99 BibTeX Cite \textit{B. T. Shapiro} and \textit{D. I. Spivak}, ``A Polynomial Construction of Nerves for Higher Categories'', Preprint, arXiv:2405.13157 [math.CT] (2024) Full Text: arXiv OA License
Fiore, M.; Gambino, N.; Hyland, M. Monoidal bicategories, differential linear logic, and analytic functors. arXiv:2405.05774 Preprint, arXiv:2405.05774 [math.CT] (2024). MSC: 18N10 18M45 18F40 18D60 18M80 BibTeX Cite \textit{M. Fiore} et al., ``Monoidal bicategories, differential linear logic, and analytic functors'', Preprint, arXiv:2405.05774 [math.CT] (2024) Full Text: arXiv OA License
Nunes, Fernando Lucatelli; Prezado, Rui; Vákár, Matthijs Free extensivity via distributivity. arXiv:2405.02185 Preprint, arXiv:2405.02185 [math.CT] (2024). MSC: 18N15 18D65 18A35 18B50 18D15 18A30 18N10 68N18 BibTeX Cite \textit{F. L. Nunes} et al., ``Free extensivity via distributivity'', Preprint, arXiv:2405.02185 [math.CT] (2024) Full Text: arXiv OA License
Benjamin, Thibaut; Markakis, Ioannis; Sarti, Chiara CaTT contexts are finite computads. arXiv:2405.00398 Preprint, arXiv:2405.00398 [math.CT] (2024). MSC: 18N65 18N10 18N30 BibTeX Cite \textit{T. Benjamin} et al., ``CaTT contexts are finite computads'', Preprint, arXiv:2405.00398 [math.CT] (2024) Full Text: arXiv OA License
van Woerkom, Wijnand; Berg, Benno van den The Frobenius equivalence and Beck-Chevalley condition for Algebraic Weak Factorisation Systems. arXiv:2404.15443 Preprint, arXiv:2404.15443 [math.CT] (2024). MSC: 18A32 18N10 03B38 BibTeX Cite \textit{W. van Woerkom} and \textit{B. van den Berg}, ``The Frobenius equivalence and Beck-Chevalley condition for Algebraic Weak Factorisation Systems'', Preprint, arXiv:2404.15443 [math.CT] (2024) Full Text: arXiv OA License
Benini, Marco; Grant-Stuart, Alastair; Schenkel, Alexander Haag-Kastler stacks. arXiv:2404.14510 Preprint, arXiv:2404.14510 [math-ph] (2024). MSC: 81Txx 53C50 18F20 18N10 BibTeX Cite \textit{M. Benini} et al., ``Haag-Kastler stacks'', Preprint, arXiv:2404.14510 [math-ph] (2024) Full Text: arXiv OA License
Patterson, Evan Transposing cartesian and other structure in double categories. arXiv:2404.08835 Preprint, arXiv:2404.08835 [math.CT] (2024). MSC: 18D05 BibTeX Cite \textit{E. Patterson}, ``Transposing cartesian and other structure in double categories'', Preprint, arXiv:2404.08835 [math.CT] (2024) Full Text: arXiv OA License
Xu, Hao Module Categories As Spans. arXiv:2404.06408 Preprint, arXiv:2404.06408 [math.CT] (2024). MSC: 18B10 18M05 18N10 18N25 16D10 16D90 BibTeX Cite \textit{H. Xu}, ``Module Categories As Spans'', Preprint, arXiv:2404.06408 [math.CT] (2024) Full Text: arXiv OA License
Hogancamp, Matthew; Rose, David E. V.; Wedrich, Paul Bordered invariants from Khovanov homology. arXiv:2404.06301 Preprint, arXiv:2404.06301 [math.GT] (2024). MSC: 57K16 18N25 57K18 18N10 BibTeX Cite \textit{M. Hogancamp} et al., ``Bordered invariants from Khovanov homology'', Preprint, arXiv:2404.06301 [math.GT] (2024) Full Text: arXiv OA License
Arkor, Nathanael; McDermott, Dylan The pullback theorem for relative monads. arXiv:2404.01281 Preprint, arXiv:2404.01281 [math.CT] (2024). MSC: 18D70 18D65 18C15 18C20 18A40 18D60 18C10 18D20 18N10 BibTeX Cite \textit{N. Arkor} and \textit{D. McDermott}, ``The pullback theorem for relative monads'', Preprint, arXiv:2404.01281 [math.CT] (2024) Full Text: arXiv OA License
Haderi, Redi; Stern, Walker H. An \(\mathcal{O}\)-monoidal Grothendieck construction. arXiv:2404.01031 Preprint, arXiv:2404.01031 [math.CT] (2024). MSC: 18N10 18M60 BibTeX Cite \textit{R. Haderi} and \textit{W. H. Stern}, ``An $\mathcal{O}$-monoidal Grothendieck construction'', Preprint, arXiv:2404.01031 [math.CT] (2024) Full Text: arXiv OA License
Nunes, Fernando Lucatelli; Vákár, Matthijs Free Doubly-Infinitary Distributive Categories are Cartesian Closed. arXiv:2403.10447 Preprint, arXiv:2403.10447 [math.CT] (2024). MSC: 18N15 18C15 18C20 18D15 18N10 18D65 18B50 BibTeX Cite \textit{F. L. Nunes} and \textit{M. Vákár}, ``Free Doubly-Infinitary Distributive Categories are Cartesian Closed'', Preprint, arXiv:2403.10447 [math.CT] (2024) Full Text: arXiv OA License
Caviglia, Elena Principal 2-bundles and quotient 2-stacks. arXiv:2403.09379 Preprint, arXiv:2403.09379 [math.CT] (2024). MSC: 18F20 18F10 18N10 14A20 BibTeX Cite \textit{E. Caviglia}, ``Principal 2-bundles and quotient 2-stacks'', Preprint, arXiv:2403.09379 [math.CT] (2024) Full Text: arXiv OA License
Caviglia, Elena 2-stacks over bisites. arXiv:2403.08030 Preprint, arXiv:2403.08030 [math.CT] (2024). MSC: 18F20 18F10 18N20 18N10 BibTeX Cite \textit{E. Caviglia}, ``2-stacks over bisites'', Preprint, arXiv:2403.08030 [math.CT] (2024) Full Text: arXiv OA License
Xu, Hao Higher Witt Groups for 2-Categories I: Centralizers. arXiv:2403.07768 Preprint, arXiv:2403.07768 [math.CT] (2024). MSC: 18M20 18N10 18N25 BibTeX Cite \textit{H. Xu}, ``Higher Witt Groups for 2-Categories I: Centralizers'', Preprint, arXiv:2403.07768 [math.CT] (2024) Full Text: arXiv OA License
Hughes, Calum; Miranda, Adrian The elementary theory of the 2-category of small categories. arXiv:2403.03647 Preprint, arXiv:2403.03647 [math.CT] (2024). MSC: 03B30 03E30 03G30 18A15 18B05 18B25 18B50 18D40 18N10 BibTeX Cite \textit{C. Hughes} and \textit{A. Miranda}, ``The elementary theory of the 2-category of small categories'', Preprint, arXiv:2403.03647 [math.CT] (2024) Full Text: arXiv OA License
Orendain, Juan Length of fully faithful framed bicategories. arXiv:2402.16296 Preprint, arXiv:2402.16296 [math.CT] (2024). MSC: 18N10 BibTeX Cite \textit{J. Orendain}, ``Length of fully faithful framed bicategories'', Preprint, arXiv:2402.16296 [math.CT] (2024) Full Text: arXiv OA License
Pirashvili, Ilia Grothendieck’s theory of fibred categories for monoids. arXiv:2402.11644 Preprint, arXiv:2402.11644 [math.CT] (2024). MSC: 20M50 18N10 BibTeX Cite \textit{I. Pirashvili}, ``Grothendieck's theory of fibred categories for monoids'', Preprint, arXiv:2402.11644 [math.CT] (2024) Full Text: arXiv OA License
Fröhlich, Benedikt; Moser, Lyne Yoneda lemma and representation theorem for double categories. arXiv:2402.10640 Preprint, arXiv:2402.10640 [math.CT] (2024). MSC: 18N10 18D30 18D60 18D40 BibTeX Cite \textit{B. Fröhlich} and \textit{L. Moser}, ``Yoneda lemma and representation theorem for double categories'', Preprint, arXiv:2402.10640 [math.CT] (2024) Full Text: arXiv OA License
Femić, Bojana Premonoidal and Kleisli double categories. arXiv:2401.17494 Preprint, arXiv:2401.17494 [math.CT] (2024). MSC: 18N10 BibTeX Cite \textit{B. Femić}, ``Premonoidal and Kleisli double categories'', Preprint, arXiv:2401.17494 [math.CT] (2024) Full Text: arXiv OA License
Mesiti, Luca 2-classifiers via dense generators and Hofmann-Streicher universe in stacks. arXiv:2401.16900 Preprint, arXiv:2401.16900 [math.CT] (2024). MSC: 18B25 18N10 18F20 18D30 BibTeX Cite \textit{L. Mesiti}, ``2-classifiers via dense generators and Hofmann-Streicher universe in stacks'', Preprint, arXiv:2401.16900 [math.CT] (2024) Full Text: arXiv OA License
Vooys, Geoff On the Equivariant Derived Category of Perverse Sheaves. arXiv:2401.10174 Preprint, arXiv:2401.10174 [math.AG] (2024). MSC: 14A30 18N10 18G15 14F08 14F43 14M17 BibTeX Cite \textit{G. Vooys}, ``On the Equivariant Derived Category of Perverse Sheaves'', Preprint, arXiv:2401.10174 [math.AG] (2024) Full Text: arXiv OA License
Vooys, Geoff Categories of Pseudocones and Equivariant Descent. arXiv:2401.10172 Preprint, arXiv:2401.10172 [math.AG] (2024). MSC: 14F43 18N10 55U99 18G80 18F20 14L30 14M17 55N91 BibTeX Cite \textit{G. Vooys}, ``Categories of Pseudocones and Equivariant Descent'', Preprint, arXiv:2401.10172 [math.AG] (2024) Full Text: arXiv OA License
Xarez, João J. Erratum to: “The monotone-light factorization for 2-categories via 2-preorders”. (English) Zbl 1534.18001 Theory Appl. Categ. 39, 1014-1017 (2023). MSC: 18A32 18E50 18N10 PDFBibTeX XMLCite \textit{J. J. Xarez}, Theory Appl. Categ. 39, 1014--1017 (2023; Zbl 1534.18001) Full Text: Link
Femić, Bojana Bifunctor theorem and strictification tensor product for double categories with lax double functors. (English) Zbl 07823990 Theory Appl. Categ. 39, 824-873 (2023). Reviewer: Blas Torrecillas (Almería) MSC: 18N10 PDFBibTeX XMLCite \textit{B. Femić}, Theory Appl. Categ. 39, 824--873 (2023; Zbl 07823990) Full Text: arXiv Link
Campbell, Jonathan A.; Ponto, Kate Riemann-Roch theorems in monoidal 2-categories. (English) Zbl 07795678 Q. J. Math. 74, No. 3, 1119-1163 (2023). MSC: 14A30 14C34 18M05 18N10 PDFBibTeX XMLCite \textit{J. A. Campbell} and \textit{K. Ponto}, Q. J. Math. 74, No. 3, 1119--1163 (2023; Zbl 07795678) Full Text: DOI arXiv
Janelidze, Zurab; Prodinger, Helmut; van Niekerk, Francois Combinatorics arising from lax colimits of posets. (English) Zbl 1529.05010 Order 40, No. 3, 493-524 (2023). MSC: 05A19 06A07 18N10 05A18 05A15 05C30 PDFBibTeX XMLCite \textit{Z. Janelidze} et al., Order 40, No. 3, 493--524 (2023; Zbl 1529.05010) Full Text: DOI arXiv
Cowtan, Alexander; Majid, Shahn Algebraic aspects of boundaries in the Kitaev quantum double model. (English) Zbl 1531.18020 J. Math. Phys. 64, No. 10, Article ID 102203, 59 p. (2023). MSC: 18N10 16T05 57T05 PDFBibTeX XMLCite \textit{A. Cowtan} and \textit{S. Majid}, J. Math. Phys. 64, No. 10, Article ID 102203, 59 p. (2023; Zbl 1531.18020) Full Text: DOI arXiv OA License
Décoppet, Thibault D. Compact semisimple 2-categories. (English) Zbl 1525.18022 Trans. Am. Math. Soc. 376, No. 12, 8309-8336 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 18N25 16T05 18M05 18N10 PDFBibTeX XMLCite \textit{T. D. Décoppet}, Trans. Am. Math. Soc. 376, No. 12, 8309--8336 (2023; Zbl 1525.18022) Full Text: DOI arXiv
Grant, Joseph Serre functors and graded categories. (English) Zbl 1535.18023 Algebr. Represent. Theory 26, No. 5, 2113-2180 (2023). Reviewer: Alejandro Argudín Monroy (Ciudad de México) MSC: 18G80 16E35 18N10 16W50 18E05 16G10 PDFBibTeX XMLCite \textit{J. Grant}, Algebr. Represent. Theory 26, No. 5, 2113--2180 (2023; Zbl 1535.18023) Full Text: DOI arXiv OA License
Clementino, Maria Manuel; Nunes, Fernando Lucatelli Lax comma categories of ordered sets. (English) Zbl 07766161 Quaest. Math. 46, Part Suppl. 1, 145-159 (2023). MSC: 06A07 18A25 18A30 18N10 18D20 18E50 PDFBibTeX XMLCite \textit{M. M. Clementino} and \textit{F. L. Nunes}, Quaest. Math. 46, Part Suppl. 1, 145--159 (2023; Zbl 07766161) Full Text: DOI arXiv
Blanco, Jaider; Uribe, Bernardo; Waldorf, Konrad Pontrjagin duality on multiplicative gerbes. (English) Zbl 07761274 J. Noncommut. Geom. 17, No. 4, 1469-1520 (2023). MSC: 55U30 53C08 55N30 18M20 18N10 22A22 PDFBibTeX XMLCite \textit{J. Blanco} et al., J. Noncommut. Geom. 17, No. 4, 1469--1520 (2023; Zbl 07761274) Full Text: DOI arXiv
Bennett-Tennenhaus, Raphael; Haugland, Johanne; Hustad Sandøy, Mads; Shah, Amit The category of extensions and a characterisation of \(n\)-exangulated functors. (English) Zbl 1527.18006 Math. Z. 305, No. 3, Paper No. 44, 37 p. (2023). Reviewer: Panyue Zhou (Yueyang) MSC: 18E05 18E10 18G80 18N10 PDFBibTeX XMLCite \textit{R. Bennett-Tennenhaus} et al., Math. Z. 305, No. 3, Paper No. 44, 37 p. (2023; Zbl 1527.18006) Full Text: DOI arXiv
Chen, Hank Drinfel’d double symmetry of the 4d Kitaev model. (English) Zbl 1537.81133 J. High Energy Phys. 2023, No. 9, Paper No. 141, 54 p. (2023). MSC: 81R50 18N10 PDFBibTeX XMLCite \textit{H. Chen}, J. High Energy Phys. 2023, No. 9, Paper No. 141, 54 p. (2023; Zbl 1537.81133) Full Text: DOI arXiv OA License
Fritz, Tobias; Gadducci, Fabio; Trotta, Davide; Corradini, Andrea From gs-monoidal to oplax cartesian categories: constructions and functorial completeness. (English) Zbl 07751676 Appl. Categ. Struct. 31, No. 5, Paper No. 42, 31 p. (2023). MSC: 18M05 18B10 18N10 PDFBibTeX XMLCite \textit{T. Fritz} et al., Appl. Categ. Struct. 31, No. 5, Paper No. 42, 31 p. (2023; Zbl 07751676) Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel; Zhang, Xiaoting Simple transitive 2-representations of Soergel bimodules for finite Coxeter types. (English) Zbl 1522.18033 Proc. Lond. Math. Soc. (3) 126, No. 5, 1585-1655 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18D25 16D20 18A50 18N25 20C08 PDFBibTeX XMLCite \textit{M. Mackaay} et al., Proc. Lond. Math. Soc. (3) 126, No. 5, 1585--1655 (2023; Zbl 1522.18033) Full Text: DOI arXiv
Nunes, Fernando Lucatelli; Prezado, Rui; Sousa, Lurdes Cauchy completeness, lax epimorphisms and effective descent for split fibrations. (English) Zbl 1519.18001 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 1, 130-139 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18A20 18A22 18D20 18F20 18N10 PDFBibTeX XMLCite \textit{F. L. Nunes} et al., Bull. Belg. Math. Soc. - Simon Stevin 30, No. 1, 130--139 (2023; Zbl 1519.18001) Full Text: DOI arXiv
Stroiński, Mateusz Weighted colimits of 2-representations and star algebras. (English) Zbl 1527.18021 Appl. Categ. Struct. 31, No. 4, Paper No. 29, 33 p. (2023). Reviewer: Ross H. Street (Sydney) MSC: 18N10 18N25 PDFBibTeX XMLCite \textit{M. Stroiński}, Appl. Categ. Struct. 31, No. 4, Paper No. 29, 33 p. (2023; Zbl 1527.18021) Full Text: DOI arXiv OA License
Araujo de Resende, M. F.; Ibieta Jimenez, J. P.; Lorca Espiro, J. Quantum double models coupled to matter fields: a detailed review for a dualization procedure. (English) Zbl 1527.81064 Int. J. Quantum Inf. 21, No. 4, Article ID 2350018, 63 p. (2023). MSC: 81Q35 70S15 18N10 81Q65 PDFBibTeX XMLCite \textit{M. F. Araujo de Resende} et al., Int. J. Quantum Inf. 21, No. 4, Article ID 2350018, 63 p. (2023; Zbl 1527.81064) Full Text: DOI arXiv
Chirvasitu, Alexandru Centers of categorified endomorphism rings. (English) Zbl 1523.18005 Algebr. Represent. Theory 26, No. 3, 987-997 (2023). Reviewer: Joanna Ko (Brno) MSC: 18D15 18M05 18N10 PDFBibTeX XMLCite \textit{A. Chirvasitu}, Algebr. Represent. Theory 26, No. 3, 987--997 (2023; Zbl 1523.18005) Full Text: DOI arXiv
Moser, Lyne; Sarazola, Maru; Verdugo, Paula A model structure for weakly horizontally invariant double categories. (English) Zbl 1517.18003 Algebr. Geom. Topol. 23, No. 4, 1725-1786 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D20 18N10 18N40 PDFBibTeX XMLCite \textit{L. Moser} et al., Algebr. Geom. Topol. 23, No. 4, 1725--1786 (2023; Zbl 1517.18003) Full Text: DOI arXiv OA License
Abellán García, Fernando; Stern, Walker H. Enhanced twisted arrow categories. (English) Zbl 1520.18018 Theory Appl. Categ. 39, 98-149 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N60 18N65 PDFBibTeX XMLCite \textit{F. Abellán García} and \textit{W. H. Stern}, Theory Appl. Categ. 39, 98--149 (2023; Zbl 1520.18018) Full Text: arXiv Link