Angelini-Knoll, Gabriel; Culver, Dominic Leon; Höning, Eva Topological Hochschild homology of truncated Brown-Peterson spectra. I. (English) Zbl 07922360 Algebr. Geom. Topol. 24, No. 5, 2509-2536 (2024). MSC: 16E40 19D55 55N22 55P43 55Q51 55P42 55Q10 55T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weinberger, Jonathan Two-sided Cartesian fibrations of synthetic \((\infty, 1)\)-categories. (English) Zbl 07919890 J. Homotopy Relat. Struct. 19, No. 3, 297-378 (2024). MSC: 18N60 03B38 18D30 18N45 55U35 18N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramras, Daniel A. The topological Atiyah-Segal map. (English) Zbl 07915449 Kaufmann, Ralph M. (ed.) et al., Higher structures in topology, geometry, and physics. AMS special session, virtual, March 26–27, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 802, 195-225 (2024). MSC: 55R37 53C05 55P43 55R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clausen, Dustin; Mathew, Akhil; Naumann, Niko; Noel, Justin Descent and vanishing in chromatic algebraic \(K\)-theory via group actions. (Descente et annulation en \(K\)-théorie chromatique via les actions des groupes.) (English. French summary) Zbl 07904675 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 4, 1135-1190 (2024). MSC: 19D55 55P42 55P43 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riehl, Emily; Verity, Dominic Cartesian exponentiation and monadicity. (English) Zbl 07902000 Cah. Topol. Géom. Différ. Catég. 65, No. 3, 294-353 (2024). MSC: 18N60 55U10 55U35 18D20 18N45 55U40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mazel-Gee, Aaron; Stern, Reuben A universal characterization of noncommutative motives and secondary algebraic \(K\)-theory. (English) Zbl 07899149 Ann. \(K\)-Theory 9, No. 2, 369-445 (2024). Reviewer: Philippe Gaucher (Paris) MSC: 18F25 19D99 18D20 18N25 18N65 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taggart, Niall Comparing orthogonal calculus and calculus with reality. (English) Zbl 07895036 Math. Z. 307, No. 4, Paper No. 81, 26 p. (2024). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55P65 55P42 55P91 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Keenan, Liam; McCandless, Jonas A chromatic vanishing result for TR. (English) Zbl 07892855 Proc. Am. Math. Soc. 152, No. 9, 3705-3713 (2024). MSC: 19D55 55P42 × Cite Format Result Cite Review PDF Full Text: DOI
Belmont, Eva; Isaksen, Daniel C.; Kong, Hana Jia \( \mathbb{R} \)-motivic \(v_1\)-periodic homotopy. (English) Zbl 07887954 Pac. J. Math. 330, No. 1, 43-84 (2024). Reviewer: Geoffrey Powell (Angers) MSC: 55Q10 14F42 55Q50 55T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bals, Konrad Periodic cyclic homology over \(\mathbb{Q}\). (English) Zbl 07875600 Ann. \(K\)-Theory 9, No. 1, 119-142 (2024). MSC: 13D03 19D55 19E08 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balderrama, William; Kuhn, Nicholas J. An elementary proof of the chromatic Smith fixed point theorem. (English) Zbl 07860681 Homology Homotopy Appl. 26, No. 1, 131-140 (2024). MSC: 55M35 55N20 55P42 55P91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wenhui; Wan, Anhua Stable recovery of approximately block \(k\)-sparse signals with partial block support information via weighted \(\ell_2/\ell_p\) (\(0 < p \leq 1\)) minimization. (English) Zbl 07855894 Comput. Appl. Math. 43, No. 4, Paper No. 185, 25 p. (2024). MSC: 94-XX × Cite Format Result Cite Review PDF Full Text: DOI
Khurana, Dinesh; Lam, T. Y. Ring elements of stable range one. (English) Zbl 07850909 J. Algebra 652, 208-240 (2024). Reviewer: Pace Nielsen (Provo) MSC: 16U60 16D70 16E20 16E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Qingnan; Liu, Zhichao On unital absorbing extensions of \(C^*\)-algebras of stable rank one and real rank zero. (English) Zbl 07843761 Proc. Am. Math. Soc. 152, No. 6, 2497-2510 (2024). Reviewer: Jianguo Zhang (Xi’an) MSC: 46L80 19K33 46L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Connes, Alain; Consani, Caterina Riemann-Roch for the ring \(\mathbb{Z}\). (Riemann-Roch pour l’anneau \(\mathbb{Z}\).) (English. French summary) Zbl 1539.14017 C. R., Math., Acad. Sci. Paris 362, 229-235 (2024). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 14C40 14G40 14H05 11R56 13F35 18N60 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weinberger, Jonathan Internal sums for synthetic fibered \((\infty,1)\)-categories. (English) Zbl 07842164 J. Pure Appl. Algebra 228, No. 9, Article ID 107659, 52 p. (2024). MSC: 03B38 18N60 18D30 18B50 18N45 55U35 18N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bohmann, Anna Marie; Szymik, Markus Generalisations of Loday’s assembly maps for Lawvere’s algebraic theories. (English) Zbl 1539.19001 J. Inst. Math. Jussieu 23, No. 2, 811-837 (2024). Reviewer: Marek Golasiński (Olsztyn) MSC: 19D23 18F25 18C10 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Rasekh, Nima A model for the higher category of higher categories. (English) Zbl 1533.18021 Theory Appl. Categ. 41, 21-70 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N60 18N50 55U35 18N45 18N40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Riehl, Emily On the \(\infty\)-topos semantics of homotopy type theory. (English) Zbl 1533.18019 Bull. Lond. Math. Soc. 56, No. 2, 461-517 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N40 18N45 18N60 03B38 55U10 55U40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Liu, Henry The 4-fold Pandharipande-Thomas vertex. (English) Zbl 1541.14079 J. Geom. Phys. 198, Article ID 105104, 21 p. (2024). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14N35 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davis, Daniel G. Several homotopy fixed point spectral sequences in telescopically localized algebraic \(K\)-theory. (English) Zbl 1539.19003 Math. J. Okayama Univ. 66, 135-157 (2024). MSC: 19D55 55N20 55P42 55T25 18N55 18N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosenberg, Jonathan Complex K-theory of 4-complexes. arXiv:2409.16557 Preprint, arXiv:2409.16557 [math.KT] (2024). MSC: 19L64 19L10 55R50 55R40 × Cite Format Result Cite Full Text: arXiv OA License
Kupers, Alexander; Lemann, Ezekiel; Malkiewich, Cary; Miller, Jeremy; Sroka, Robin J. Scissors automorphism groups and their homology. arXiv:2408.08081 Preprint, arXiv:2408.08081 [math.KT] (2024). MSC: 18F25 19D99 20J05 55P42 52B45 × Cite Format Result Cite Full Text: arXiv OA License
Bardomiano-Martínez, César Exponentiable functors between synthetic \(\infty\)-categories. arXiv:2407.18072 Preprint, arXiv:2407.18072 [math.CT] (2024). MSC: 18N60 18N45 18D70 03B38 × Cite Format Result Cite Full Text: arXiv OA License
Cnossen, Bastiaan; Haugseng, Rune; Lenz, Tobias; Linskens, Sil Normed equivariant ring spectra and higher Tambara functors. arXiv:2407.08399 Preprint, arXiv:2407.08399 [math.AT] (2024). MSC: 18N70 55P91 18F25 18N60 55P47 × Cite Format Result Cite Full Text: arXiv OA License
Weinberger, Jonathan Generalized Chevalley criteria in simplicial homotopy type theory. arXiv:2403.08190 Preprint, arXiv:2403.08190 [math.CT] (2024). MSC: 03B38 18N50 18N60 18N45 55U35 18D30 × Cite Format Result Cite Full Text: arXiv OA License
Anel, Mathieu; Weinberger, Jonathan Smooth and Proper Maps. arXiv:2402.00331 Preprint, arXiv:2402.00331 [math.CT] (2024). MSC: 18N60 18N45 03B38 14D23 18D30 × Cite Format Result Cite Full Text: arXiv OA License
Levine, Marc Motivic cohomology. (English) Zbl 07823054 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2048-2106 (2023). MSC: 14F42 14C15 19D55 19D45 55P42 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Buchholtz, Ulrik; Weinberger, Jonathan Synthetic fibered \((\infty,1)\)-category theory. (English) Zbl 1535.18039 High. Struct. 7, No. 1, 74-165 (2023). Reviewer: Raffael Stenzel (Bonn) MSC: 18N60 18N45 18D30 18N55 55U35 18N50 18D40 18D70 03B38 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Stahn, Sven-Torben Periodic self maps and thick ideals in the stable motivic homotopy category over \(\mathbb{C}\) at odd primes. (English) Zbl 1535.55020 J. Homotopy Relat. Struct. 18, No. 4, 563-604 (2023). Reviewer: Geoffrey Powell (Angers) MSC: 55P42 14F42 55N20 55U30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben-Moshe, Shay; Schlank, Tomer M. Higher semiadditive algebraic \(K\)-theory and redshift. (English) Zbl 07782533 Compos. Math. 160, No. 2, 237-287 (2023). MSC: 19D55 55P42 18N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Saunier, Victor The fundamental theorem of localizing invariants. (English) Zbl 1536.19002 Ann. \(K\)-Theory 8, No. 4, 609-643 (2023). MSC: 19D35 18F25 19D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kong, Hana Jia The \(C_2\)-effective spectral sequence for \(C_2\)-equivariant connective real \(K\)-theory. (English) Zbl 1539.19004 Tunis. J. Math. 5, No. 4, 627-662 (2023). MSC: 19E15 55Q91 55T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heard, Drew The \(Sp_{k,n}\)-local stable homotopy category. (English) Zbl 1530.55010 Algebr. Geom. Topol. 23, No. 8, 3655-3706 (2023). Reviewer: Katsumi Shimomura (Kochi) MSC: 55P42 55P60 55T15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Asadi-Vasfi, M. Ali The radius of comparison of the crossed product by a weakly tracially strictly approximately inner action. (English) Zbl 07762697 Stud. Math. 271, No. 3, 241-285 (2023). Reviewer: Bernhard Burgstaller (Florianópolis) MSC: 46L55 46L35 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carmeli, Shachar; Yuan, Allen Higher semiadditive Grothendieck-Witt theory and the \(K(1)\)-local sphere. (English) Zbl 1532.55009 Commun. Am. Math. Soc. 3, 65-111 (2023). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P42 11E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
McBreen, Michael; Sheshmani, Artan; Yau, Shing-Tung Elliptic stable envelopes and hypertoric loop spaces. (English) Zbl 1539.14127 Sel. Math., New Ser. 29, No. 5, Paper No. 73, 22 p. (2023). MSC: 14N35 14M25 14C35 14J33 53D30 53D55 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blumberg, Andrew J.; Mandell, Michael A.; Yuan, Allen A version of Waldhausen’s chromatic convergence for \(TC\). (English) Zbl 1520.19002 Bull. Lond. Math. Soc. 55, No. 2, 945-960 (2023). MSC: 19D10 55P42 55P60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazloumi, Pouria; Stieberger, Stephan Intersections of twisted forms: new theories and double copies. (English) Zbl 1531.81237 Nucl. Phys., B 994, Article ID 116324, 39 p. (2023). MSC: 81U05 19L50 14D21 55Q45 14H55 81T35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Yang, Huijun Topological classification of complex vector bundles over 8-dimensional \(\mathrm{spin}^c\) manifolds. (English) Zbl 1529.55019 Manuscr. Math. 172, No. 1-2, 57-74 (2023). Reviewer: Xueqi Wang (Beijing) MSC: 55R15 55R50 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faure, Frédéric Manifestation of the topological index formula in quantum waves and geophysical waves. (Manifestation de la formule de l’indice topologique dans les ondes quantiques et les ondes géophysiques.) (English. French summary) Zbl 1523.35261 Ann. Henri Lebesgue 6, 449-492 (2023). Reviewer: Panagiotis Koumantos (Athína) MSC: 35Q86 35Q35 86A05 86A10 76B15 76U60 76Y05 81V55 55R50 47A53 19K56 81Q20 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Connes, Alain; Consani, Caterina Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\). (English) Zbl 1529.14003 Bull. Sci. Math. 187, Article ID 103293, 29 p. (2023). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 14C40 14G40 14H05 11R56 13F35 18N60 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bohmann, Anna Marie; Szymik, Markus Boolean algebras, Morita invariance and the algebraic \(K\)-theory of Lawvere theories. (English) Zbl 1533.19001 Math. Proc. Camb. Philos. Soc. 175, No. 2, 253-270 (2023). Reviewer: Frank Neumann (Leicester) MSC: 19D23 06E05 16D90 18F25 18C10 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seth, Apurva; Vaidyanathan, Prahlad Rational \(K\)-stability of continuous \(C(X)\)-algebras. (English) Zbl 1533.46051 J. Aust. Math. Soc. 115, No. 1, 119-144 (2023). Reviewer: Takahiro Sudo (Nishihara) MSC: 46L85 46L80 46L55 46L05 46L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López-Gómez, Julián; Sampedro, Juan Carlos Orientability through the algebraic multiplicity. (English) Zbl 07713368 J. Fixed Point Theory Appl. 25, No. 2, Paper No. 60, 29 p. (2023). MSC: 47H11 58C40 55R50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Viet-Cuong Pham On the surjectivity of the tmf-Hurewicz image of \(A_1\). (English) Zbl 07679268 Algebr. Geom. Topol. 23, No. 1, 217-241 (2023). MSC: 55Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gepner, David Algebraic \(K\)-theory and generalized stable homotopy theory. (English) Zbl 1511.55012 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 161-184 (2023). MSC: 55P42 19D55 18N60 55U40 × Cite Format Result Cite Review PDF Full Text: DOI
Burklund, Robert; Levy, Ishan On the \(K\)-theory of regular coconnective rings. (English) Zbl 1516.19002 Sel. Math., New Ser. 29, No. 2, Paper No. 28, 30 p. (2023). Reviewer: Christoph Winges (Regensburg) MSC: 19D99 18N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Angelini-Knoll, Gabriel Detecting \(\beta\) elements in iterated algebraic K-theory. (English) Zbl 07662354 Trans. Am. Math. Soc. 376, No. 4, 2657-2692 (2023). Reviewer: Sarah Whitehouse (Sheffield) MSC: 55Q51 19D55 11F33 19L20 55P42 55P43 55T15 19D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Qingnan; Liu, Zhichao A total Cuntz semigroup for \(C^*\)-algebras of stable rank one. (English) Zbl 1520.46031 J. Funct. Anal. 284, No. 8, Article ID 109858, 58 p. (2023). Reviewer: Prahlad Vaidyanathan (Bhopal) MSC: 46L35 46L80 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Po; Kriz, Igor; Somberg, Petr On the equivariant motivic filtration of the topological Hochschild homology of polynomial algebras. (English) Zbl 1502.19002 Adv. Math. 412, Article ID 108803, 12 p. (2023). MSC: 19D55 55N91 14F30 55N15 19D50 55P42 13D03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stenzel, Raffael Univalence and completeness of Segal objects. (English) Zbl 1502.18048 J. Pure Appl. Algebra 227, No. 4, Article ID 107254, 47 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N45 18N50 18N60 18C50 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calle, Maxine; Chan, David; Péroux, Maximilien Equivariant algebraic \(K\)-theory of symmetric monoidal Mackey functors. arXiv:2312.04705 Preprint, arXiv:2312.04705 [math.AT] (2023). MSC: 55P91 19D23 18N60 18N10 55P42 18F25 × Cite Format Result Cite Full Text: arXiv OA License
Angelini-Knoll, Gabriel; Ausoni, Christian; Rognes, John Algebraic K-theory of real topological K-theory. arXiv:2309.11463 Preprint, arXiv:2309.11463 [math.AT] (2023). MSC: 19D50 19D55 55Q51 55P43 14F30 19E20 13D03 55N15 55Q10 55T25 × Cite Format Result Cite Full Text: arXiv OA License
Davis, Daniel G. A continuous \(p\)-adic action on the \(K(2)\)-local algebraic \(K\)-theory of \(p\)-adic complex \(K\)-theory. arXiv:2308.02063 Preprint, arXiv:2308.02063 [math.AT] (2023). MSC: 19D55 55N15 55P42 55T25 × Cite Format Result Cite Full Text: arXiv OA License
Salch, A. KU-local zeta-functions of finite CW-complexes. arXiv:2308.01805 Preprint, arXiv:2308.01805 [math.AT] (2023). MSC: 11S40 55N15 55Q10 × Cite Format Result Cite Full Text: arXiv OA License
Wittich, Thor Operations on Milnor-Witt K-theory. arXiv:2308.01008 Preprint, arXiv:2308.01008 [math.AT] (2023). MSC: 19D45 14F42 55Q35 55Q45 55S25 × Cite Format Result Cite Full Text: arXiv OA License
Rot, Thomas O.; Toussaint, Lauran Non-linear proper Fredholm maps and the stable homotopy groups of spheres. arXiv:2307.08020 Preprint, arXiv:2307.08020 [math.AT] (2023). MSC: 55P57 55Q45 19L41 55N22 58B05 58B15 47A53 × Cite Format Result Cite Full Text: arXiv OA License
Connes, Alain; Consani, Caterina On the metaphysics of \(\mathbb F_1\). arXiv:2307.06748 Preprint, arXiv:2307.06748 [math.NT] (2023). MSC: 14C40 14G40 14H05 11R56 13F35 18N60 19D55 × Cite Format Result Cite Full Text: arXiv OA License
Magar-Sawant, Priyanka Tangential smoothings of \(k\)-fold connected sum of complex projective spaces. arXiv:2306.16911 Preprint, arXiv:2306.16911 [math.AT] (2023). MSC: 55Q10 55R50 55Q55 × Cite Format Result Cite Full Text: arXiv OA License
Beardsley, Jonathan; Luecke, Kiran; Morava, Jack Brauer-Wall Groups and Truncated Picard Spectra of \(K\)-theory. arXiv:2306.10112 Preprint, arXiv:2306.10112 [math.KT] (2023). MSC: 55P42 19L50 55N15 × Cite Format Result Cite Full Text: arXiv OA License
Bhattacharya, Prasit; Zou, Foling Equivariant orientation of vector bundles over disconnected base spaces. arXiv:2303.10259 Preprint, arXiv:2303.10259 [math.AT] (2023). MSC: 55R91 55R40 55R50 19L20 55S91 55P91 × Cite Format Result Cite Full Text: arXiv OA License
Braunling, Oliver Local compactness as the K(1)-local dual of finite generation. arXiv:2301.05943 Preprint, arXiv:2301.05943 [math.KT] (2023). MSC: 19F05 55P42 22B05 × Cite Format Result Cite Full Text: arXiv OA License
Bagnarol, Massimo Betti numbers of stable map spaces to Grassmannians. (English) Zbl 1522.14021 Math. Nachr. 295, No. 10, 1869-1900 (2022). MSC: 14D20 14M15 14C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharya, P.; Chatham, H. On the \(\mathrm{EO} \)-orientability of vector bundles. (English) Zbl 07738269 J. Topol. 15, No. 4, 2017-2044 (2022). Reviewer: Chi-Kwong Fok (Nanaimo) MSC: 55N22 55P91 55R25 55R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bohmann, Anna Marie; Hazel, Christy; Ishak, Jocelyne; Kędziorek, Magdalena; May, Clover Genuine-commutative structure on rational equivariant \(K\)-theory for finite abelian groups. (English) Zbl 1529.55016 Bull. Lond. Math. Soc. 54, No. 3, 1082-1103 (2022). Reviewer: Michael Joachim (Münster) MSC: 55P91 19L47 55P42 55P62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, Viet-Cuong On homotopy groups of \(E_C^{hG_{24}} \wedge A_1\). (English) Zbl 1531.55015 Algebr. Geom. Topol. 22, No. 8, 3855-3938 (2022). Reviewer: Zhen Huan (Wuhan) MSC: 55Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Niles; Yau, Donald Multifunctorial \(K\)-theory is an equivalence of homotopy theories. (English) Zbl 1512.18012 J. Homotopy Relat. Struct. 17, No. 4, 569-592 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M65 55P42 55P48 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Damnjanović, Milan; Milošević, Ivanka Elements of topological band theory in condensed matter physics. (English) Zbl 1534.82015 Bull., Cl. Sci. Math. Nat., Sci. Math. 47, 85-100 (2022). MSC: 82D25 82C20 55R50 20C07 05C50 × Cite Format Result Cite Review PDF Full Text: Link
Li, Guchuan; Lorman, Vitaly; Quigley, J. D. Tate blueshift and vanishing for real oriented cohomology theories. (English) Zbl 1528.55003 Adv. Math. 411, Part A, Article ID 108780, 51 p. (2022). Reviewer: Kyle Ormsby (Portland) MSC: 55N25 55P42 55P60 55P91 55P92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campbell, Jonathan A.; Zakharevich, Inna Dévissage and localization for the Grothendieck spectrum of varieties. (English) Zbl 1510.19001 Adv. Math. 411, Part A, Article ID 108710, 80 p. (2022). Reviewer: Frank Neumann (Leicester) MSC: 19E08 14C35 18N25 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galindo, Cesar; Pelaez, Pablo On the convergence of the orthogonal spectral sequence. (English) Zbl 1511.14036 Homology Homotopy Appl. 24, No. 2, 389-401 (2022). MSC: 14F42 14C25 18G80 19D99 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elmanto, Elden; Sosnilo, Vladimir On nilpotent extensions of \(\infty\)-categories and the cyclotomic trace. (English) Zbl 1511.18009 Int. Math. Res. Not. 2022, No. 21, 16569-16633 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F25 18N60 14A20 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Yalong; Kool, Martijn; Monavari, Sergej \(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds. (English) Zbl 1512.14031 Commun. Math. Phys. 396, No. 1, 225-264 (2022). Reviewer: Zhenbo Qin (Columbia) MSC: 14N35 19M05 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Liu, Ruochuan; Wang, Guozhen Topological cyclic homology of local fields. (English) Zbl 1509.19008 Invent. Math. 230, No. 2, 851-932 (2022). MSC: 19F99 55P42 55T15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pstrągowski, Piotr Chromatic Picard groups at large primes. (English) Zbl 1502.55009 Proc. Am. Math. Soc. 150, No. 11, 4981-4988 (2022). Reviewer: Katsumi Shimomura (Kochi) MSC: 55P42 55N20 55P60 55S35 14C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shimomura, Katsumi A relation among Hopkins’ Picard groups of the localized categories with respect to finite wedges of the Morava \(K\)-theories. (English) Zbl 07578596 Trans. Am. Math. Soc. 375, No. 9, 6337-6361 (2022). Reviewer: Malkhaz Bakuradze (Tbilisi) MSC: 55P42 55P43 55Q99 55T99 × Cite Format Result Cite Review PDF Full Text: DOI
Kawamura, Kazuhiro Rational stabilization and maximal ideal spaces of commutative Banach algebras. (English) Zbl 1497.46080 J. Homotopy Relat. Struct. 17, No. 3, 263-295 (2022). Reviewer: Mihai Putinar (Santa Barbara) MSC: 46M20 46J20 55P62 55P55 55M10 47A60 47A99 × Cite Format Result Cite Review PDF Full Text: DOI
Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. (English) Zbl 1504.55011 Invent. Math. 229, No. 3, 1301-1434 (2022). Reviewer: Ningchuan Zhang (Philadelphia) MSC: 55P92 55R25 55R50 55U30 20E18 22E41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kononov, Yakov; Smirnov, Andrey Pursuing quantum difference equations. I: Stable envelopes of subvarieties. (English) Zbl 1505.14092 Lett. Math. Phys. 112, No. 4, Paper No. 69, 25 p. (2022). MSC: 14J42 05E14 19E99 39A99 14C05 14J33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elmanto, Elden; Levine, Marc; Spitzweck, Markus; Østvær, Paul Arne Algebraic cobordism and étale cohomology. (English) Zbl 1527.14042 Geom. Topol. 26, No. 2, 477-586 (2022). Reviewer: James D. Quigley (Ithaca) MSC: 14F20 14F42 19E15 19D55 55P42 55P43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rimányi, Richárd; Smirnov, Andrey; Zhou, Zijun; Varchenko, Alexander Three-dimensional mirror symmetry and elliptic stable envelopes. (English) Zbl 1495.14058 Int. Math. Res. Not. 2022, No. 13, 10016-10094 (2022). Reviewer: Andrzej Weber (Warszawa) MSC: 14J33 14M15 19L47 55N34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bohmann, Anna Marie; Hazel, Christy; Ishak, Jocelyne; Kędziorek, Magdalena; May, Clover Naive-commutative ring structure on rational equivariant \(K\)-theory for abelian groups. (English) Zbl 1497.55019 Topology Appl. 316, Article ID 108100, 18 p. (2022). Reviewer: Constanze Roitzheim (Canterbury) MSC: 55P91 55P62 19L47 55P43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Beaudry, Agnès; Goerss, Paul G.; Henn, Hans-Werner Chromatic splitting for the \(K(2)\)-local sphere at \(p=2\). (English) Zbl 1494.55016 Geom. Topol. 26, No. 1, 377-476 (2022). Reviewer: David Barnes (Belfast) MSC: 55P42 55P60 55Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riggenbach, Noah On the algebraic \(K\)-theory of double points. (English) Zbl 1524.19005 Algebr. Geom. Topol. 22, No. 1, 373-403 (2022). MSC: 19D50 14G45 19D55 55P42 55P91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arone, Gregory; Lesh, Kathryn The rank filtration via a filtered bar construction. (English) Zbl 1491.55011 Algebr. Geom. Topol. 22, No. 1, 251-306 (2022). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55P47 55N15 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barthel, Tobias; Heard, Drew; Naumann, Niko On conjectures of Hovey-Strickland and Chai. (English) Zbl 1515.14054 Sel. Math., New Ser. 28, No. 3, Paper No. 56, 31 p. (2022). MSC: 14L05 55N22 11S31 18G80 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Malkiewich, Cary; Merling, Mona The equivariant parametrized \(h\)-cobordism theorem, the non-manifold part. (English) Zbl 1491.19001 Adv. Math. 399, Article ID 108242, 42 p. (2022). Reviewer: Thomas Goodwillie (Watertown) MSC: 19D10 57R80 57R85 55P91 57R91 55P42 55P92 55N91 19M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chattopadhyay, Pratyusha An analogue of a result of Tits for transvection groups. (English) Zbl 1483.13026 Math. Z. 300, No. 3, 2719-2735 (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 20G35 14L35 15A24 20H25 13D15 19B10 19B37 15A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stavrova, Anastasia \(\mathbb{A}^1\)-invariance of non-stable \(K_1\)-functors in the equicharacteristic case. (English) Zbl 1479.14061 Indag. Math., New Ser. 33, No. 2, 322-333 (2022). MSC: 14L15 20G15 20G35 20G41 20G10 14C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drozd, Yuriy A. On \(K_0\) of locally finite categories. (English) Zbl 1481.18015 J. Algebra 596, 289-310 (2022). MSC: 18F30 16E20 19A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachmann, Tom; Østvær, Paul Arne Topological models for stable motivic invariants of regular number rings. (English) Zbl 1490.14033 Forum Math. Sigma 10, Paper No. e1, 27 p. (2022). Reviewer: Niels Feld (Toulouse) MSC: 14F35 14F42 19E15 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Antolín-Camarena, Omar; Barthel, Tobias Chromatic fracture cubes. (English) Zbl 1485.55012 Balchin, Scott (ed.) et al., Equivariant topology and derived algebra. Based on the conference, Trondheim, Norway, 2019. In honour of Professor J. P. C. Greenlees’ 60th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 474, 100-118 (2022). Reviewer: Gabriel Angelini-Knoll (Berlin) MSC: 55P42 18G99 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Goerss, Paul G.; Hopkins, Michael J. Comparing dualities in the \(K(n)\)-local category. (English) Zbl 1490.55003 Balchin, Scott (ed.) et al., Equivariant topology and derived algebra. Based on the conference, Trondheim, Norway, 2019. In honour of Professor J. P. C. Greenlees’ 60th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 474, 1-38 (2022). Reviewer: Julie Bergner (Riverside) MSC: 55N22 55P42 55P25 14L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chakraborty, Kuntal; Rao, Ravi A. On a theorem of Keune. (English) Zbl 1477.13025 J. Pure Appl. Algebra 226, No. 4, Article ID 106874, 18 p. (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 13H99 19B10 19C20 19C99 19D45 × Cite Format Result Cite Review PDF Full Text: DOI
Malkiewich, Cary On higher scissors congruence. arXiv:2210.08082 Preprint, arXiv:2210.08082 [math.AT] (2022). MSC: 19D99 55P42 52B45 × Cite Format Result Cite Full Text: arXiv OA License
Mukherjee, Chirantan; Rasekh, Nima Twisted Arrow Construction for Segal Spaces. arXiv:2203.01788 Preprint, arXiv:2203.01788 [math.CT] (2022). MSC: 18N60 18N40 18N50 18N45 × Cite Format Result Cite Full Text: arXiv OA License
Johnson, Niles; Yau, Donald Homotopy Theory of Enriched Mackey Functors. arXiv:2212.04276 Preprint, arXiv:2212.04276 [math.AT] (2022). MSC: 18A25 18D05 18D10 18D20 18F25 18M05 18M60 18M65 18N10 19D23 55P42 55P43 55P48 55P91 × Cite Format Result Cite Full Text: arXiv OA License
Chough, Chang-Yeon Spectral Excision and Descent for Almost Perfect Complexes. arXiv:2210.13679 Preprint, arXiv:2210.13679 [math.AG] (2022). MSC: 18F10 18N60 19E08 14A30 55P43 × Cite Format Result Cite Full Text: arXiv OA License
Minami, Norihiko Generalized Lüroth problems, hierarchized I: SBNR – stably birationalized unramified sheaves and lower retract rationality. arXiv:2210.12225 Preprint, arXiv:2210.12225 [math.AG] (2022). MSC: 14E08 14M20 14F20 14F42 13A18 12F12 19E15 55Q45 14C35 13H05 14F22 20J06 55R35 19D45 14J70 × Cite Format Result Cite Full Text: arXiv OA License