Pădurariu, Tudor; Toda, Yukinobu Categorical and \(\mathrm{K}\)-theoretic Donaldson-Thomas theory of \(\mathbb{C}^3\). (English) Zbl 07918157 Duke Math. J. 173, No. 10, 1973-2038 (2024). MSC: 14N35 18N25 19E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Positselski, Leonid; Št’ovíček, Jan Coderived and contraderived categories of locally presentable abelian DG-categories. (English) Zbl 07899648 Math. Z. 308, No. 1, Paper No. 14, 70 p. (2024). MSC: 18Exx 18Gxx 16Exx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hara, Wahei; Hirano, Yuki Mutations of noncommutative crepant resolutions in geometric invariant theory. (English) Zbl 07882871 Sel. Math., New Ser. 30, No. 4, Paper No. 70, 61 p. (2024). MSC: 14F08 18G80 16E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciocan-Fontanine, Ionut; Favero, David; Guéré, Jérémy; Kim, Bumsig; Shoemaker, Mark Fundamental factorization of a GLSM. Part I: Construction. (English) Zbl 1535.14002 Memoirs of the American Mathematical Society 1435. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6543-8/pbk; 978-1-4704-7590-1/ebook). v, 96 p. (2023). Reviewer: Wei Gu (Blacksburg) MSC: 14-02 14N35 14F08 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirano, Yuki; Ouchi, Genki Derived factorization categories of non-Thom-Sebastiani-type sums of potentials. (English) Zbl 07740425 Proc. Lond. Math. Soc. (3) 126, No. 1, 1-75 (2023). MSC: 14F08 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Positselski, Leonid Differential graded Koszul duality: an introductory survey. (English) Zbl 1537.16010 Bull. Lond. Math. Soc. 55, No. 4, 1551-1640 (2023). Reviewer: Houjun Zhang (Nanjing) MSC: 16E35 16E45 16S37 16T15 16W60 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergh, Petter Andreas; Jorgensen, David A. Categorical matrix factorizations. (English) Zbl 1530.13022 Ann. \(K\)-Theory 8, No. 3, 355-378 (2023). Reviewer: Payam Bahiraei (Rasht) MSC: 13D02 18E05 18G35 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Zhuo; Guo, Jirui; Romo, Mauricio A GLSM view on homological projective duality. (English) Zbl 1498.14107 Commun. Math. Phys. 394, No. 1, 355-407 (2022). Reviewer: Wei Gu (Cambridge) MSC: 14J32 14F08 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Positselski, Leonid; Šťovíček, Jan Derived, coderived, and contraderived categories of locally presentable abelian categories. (English) Zbl 1482.18007 J. Pure Appl. Algebra 226, No. 4, Article ID 106883, 39 p. (2022). Reviewer: Alex Takeda (Bures-sur-Yvette) MSC: 18G80 18E10 18G35 18N40 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirano, Yuki Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations. (English) Zbl 1476.14042 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 055, 43 p. (2021). MSC: 14F08 18G80 16E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Efimov, Alexander I. Homotopy finiteness of some DG categories from algebraic geometry. (English) Zbl 1478.14010 J. Eur. Math. Soc. (JEMS) 22, No. 9, 2879-2942 (2020). Reviewer: Kai Xu (Cambridge) MSC: 14A30 14E05 18E35 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rennemo, Jørgen Vold The homological projective dual of \(\operatorname{Sym}^2\mathbb{P}(V)\). (English) Zbl 1453.14053 Compos. Math. 156, No. 3, 476-525 (2020). MSC: 14F08 14J33 16E35 53D37 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Efimov, A. I. On the homotopy finiteness of DG categories. (English. Russian original) Zbl 1445.18006 Russ. Math. Surv. 74, No. 3, 431-460 (2019); translation from Usp. Mat. Nauk 74, No. 3, 63-94 (2019). MSC: 18G80 14F08 18G35 14E05 18-02 × Cite Format Result Cite Review PDF Full Text: DOI
Hirano, Yuki Relative singular locus and Balmer spectrum of matrix factorizations. (English) Zbl 1440.14086 Trans. Am. Math. Soc. 371, No. 7, 4993-5021 (2019). MSC: 14F08 18G80 14B05 32S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Positselski, Leonid Dedualizing complexes of bicomodules and MGM duality over coalgebras. (English) Zbl 1394.16040 Algebr. Represent. Theory 21, No. 4, 737-767 (2018). MSC: 16T15 16D90 16E35 16P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil On the derived categories of degree \(d\) hypersurface fibrations. (English) Zbl 1423.14114 Math. Ann. 371, No. 1-2, 337-370 (2018). MSC: 14F05 14D06 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirano, Yuki Derived Knörrer periodicity and Orlov’s theorem for gauged Landau-Ginzburg models. (English) Zbl 1370.14019 Compos. Math. 153, No. 5, 973-1007 (2017). Reviewer: Michael Brown (Bonn) MSC: 14F05 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirano, Yuki Equivalences of derived factorization categories of gauged Landau-Ginzburg models. (English) Zbl 1386.14075 Adv. Math. 306, 200-278 (2017). Reviewer: Yalong Cao (Oxford) MSC: 14F05 18E30 14J33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Polishchuk, Alexander Homogeneity of cohomology classes associated with Koszul matrix factorizations. (English) Zbl 1408.81030 Compos. Math. 152, No. 10, 2071-2112 (2016). MSC: 81T70 14B05 16E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cassidy, Thomas; Conner, Andrew; Kirkman, Ellen; Moore, W. Frank Periodic free resolutions from twisted matrix factorizations. (English) Zbl 1378.16003 J. Algebra 455, 137-163 (2016). MSC: 16E05 16E35 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Favero, David; Katzarkov, Ludmil A category of kernels for equivariant factorizations and its implications for Hodge theory. (English) Zbl 1401.14086 Publ. Math., Inst. Hautes Étud. Sci. 120, 1-111 (2014). Reviewer: Pawel Sosna (Hamburg) (MR3270588) MSC: 14F05 14C30 18E30 18G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ballard, Matthew; Favero, David; Katzarkov, Ludmil A category of kernels for equivariant factorizations. II: Further implications. (English) Zbl 1326.14036 J. Math. Pures Appl. (9) 102, No. 4, 702-757 (2014). Reviewer: Ana Ros Camacho (Paris) MSC: 14F05 14J33 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv