Found 174 Documents (Results 1–100)
Fukaya category of infinite-type surfaces. (English) Zbl 07877932
Reviewer: Hirokazu Nishimura (Tsukuba)
Gluing localized mirror functors. (English) Zbl 07870748
Reviewer: Hirokazu Nishimura (Tsukuba)
A simplicial version of the 2-dimensional Fulton-MacPherson operad. (English) Zbl 1539.18025
Reviewer: Hirokazu Nishimura (Tsukuba)
Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors. (Engendrement géométrique des catégories de Fukaya enroulées des variétés et secteurs de Weinstein.) (English. French summary) Zbl 07837747
Reviewer: Si-Yang Liu (Los Angeles)
Open Gromov-Witten invariants from the Fukaya category. (English) Zbl 07823118
Reviewer: Hirokazu Nishimura (Tsukuba)
Sectorial descent for wrapped Fukaya categories. (English) Zbl 07798120
Reviewer: Si-Yang Liu (Los Angeles)
Fukaya A-infinity structure near infinity and the categorical formal completion. arXiv:2409.14966
Preprint, arXiv:2409.14966 [math.SG] (2024).
Partially wrapped Fukaya categories of orbifold surfaces. arXiv:2407.16358
Preprint, arXiv:2407.16358 [math.SG] (2024).
Canonical form of matrix factorizations from Fukaya category of surface. arXiv:2406.16648
Preprint, arXiv:2406.16648 [math.RT] (2024).
Integration of Hochschild cohomology, derived Picard groups and uniqueness of lifts. arXiv:2405.14448
Preprint, arXiv:2405.14448 [math.SG] (2024).
Wrapped Fukaya category of plumbings. arXiv:2405.10783
Preprint, arXiv:2405.10783 [math.SG] (2024).
A Computational Approach to the Homotopy Theory of DG categories. arXiv:2405.03258
Preprint, arXiv:2405.03258 [math.CT] (2024).
Topological Fukaya category of tagged arcs. arXiv:2404.10294
Preprint, arXiv:2404.10294 [math.SG] (2024).
On a B-field transform of generalized complex structures over complex tori. arXiv:2403.15515
Preprint, arXiv:2403.15515 [math.DG] (2024).
Twisted Koszul algebras of nonisolated hypersurface singularities. arXiv:2402.17965
Preprint, arXiv:2402.17965 [math.AG] (2024).
Constructing the relative Fukaya category. (English) Zbl 07871029
Reviewer: Zdzisław Dzedzej (Gdańsk)
Generalized Thomas-Yau uniqueness theorems. (English) Zbl 07828751
Cheltsov, Ivan (ed.) et al., Birational geometry, Kähler-Einstein metrics and degenerations. Proceedings of the conferences, Moscow, Russia, April 8–13, 2019, Shanghai, China, June 10–14, 2019, Pohang, South Korea, November 18–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 409, 323-342 (2023).
Reviewer: Hülya Argüz (Athens, GA)
The \(\gamma\)-support as a micro-support. (English) Zbl 1535.53082
Reviewer: Hirokazu Nishimura (Tsukuba)
Fukaya \(A_\infty\)-structures associated to Lefschetz fibrations. V. (English) Zbl 07794726
Reviewer: Vladimir P. Kostov (Nice)
A gerby deformation of complex tori and the homological mirror symmetry. (English) Zbl 1529.14024
Reviewer: Johannes Walcher (Heidelberg)
Formal groups and quantum cohomology. (English) Zbl 1539.53099
Reviewer: Vladimir P. Kostov (Nice)
HMS symmetries and hypergeometric systems. (English) Zbl 1523.14036
Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 489-510 (2023).
Realising perfect derived categories of Auslander algebras of type \(\mathbb{A}\) as Fukaya-Seidel categories. (English) Zbl 1526.53083
Reviewer: Hirokazu Nishimura (Tsukuba)
Lagrangian cobordism functor in microlocal sheaf theory. I. (English) Zbl 1523.53085
Reviewer: Hirokazu Nishimura (Tsukuba)
On Gromov-Yomdin type theorems and a categorical interpretation of holomorphicity. (English) Zbl 1531.14024
Systolic inequalities, Ginzburg dg algebras and Milnor fibers. (English) Zbl 1524.18033
Reviewer: Alessio Cipriani (Verona)
Exotic Lagrangian tori in Grassmannians. (English) Zbl 1527.14098
Reviewer: Francesco Esposito (Padova)
Categorical action filtrations via localization and the growth as a symplectic invariant. (English) Zbl 1520.53074
Reviewer: Hirokazu Nishimura (Tsukuba)
Monotone Lagrangians in cotangent bundles of spheres. (English) Zbl 1520.53076
Reviewer: Jean-Philippe Chassé (Zürich)
Double bubble plumbings and two-curve flops. (English) Zbl 1518.14058
Reviewer: Philsang Yoo (New Haven)
Homological mirror symmetry for the symmetric squares of punctured spheres. (English) Zbl 1535.14096
On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov. (English) Zbl 1541.14054
Reviewer: Si-Yang Liu (Los Angeles)
Decompositions of moduli spaces of vector bundles and graph potentials. (English) Zbl 1525.14016
Reviewer: P. E. Newstead (Liverpool)
Wrapped sheaves. (English) Zbl 1506.18014
Reviewer: Hirokazu Nishimura (Tsukuba)
Relative Fukaya Categories via Gentle Algebras. arXiv:2305.09112
Preprint, arXiv:2305.09112 [math.RT] (2023).
Calabi-Yau structures on Rabinowitz Fukaya categories. arXiv:2304.02561
Preprint, arXiv:2304.02561 [math.SG] (2023).
Symplectomorphisms and spherical objects in the conifold smoothing. arXiv:2301.10525
Preprint, arXiv:2301.10525 [math.SG] (2023).
Complexes of stable \(\infty\)-categories. arXiv:2301.02606
Preprint, arXiv:2301.02606 [math.AG] (2023).
Homological mirror symmetry for Milnor fibers via moduli of \(A_\infty\)-structures. (English) Zbl 1539.14079
Reviewer: Dahye Cho (Seoul)
Superfiltered \(A_\infty\)-deformations of the exterior algebra, and local mirror symmetry. (English) Zbl 1520.16032
Nonexistence of exact Lagrangian tori in affine conic bundles over \(\mathbb{C}^n\). (English) Zbl 1521.53063
Reviewer: Yuxuan Hu (Evanston)
Homological mirror symmetry for log Calabi-Yau surfaces. (English) Zbl 1518.14057
Reviewer: Maxim Jeffs (Cambridge)
The bijectivity of mirror functors on tori. (English) Zbl 1502.14042
Reviewer: Jesse Huang (Edmonton)
Variation of GIT and variation of Lagrangian skeletons. II: Quasi-symmetric case. (English) Zbl 1516.53075
Categorification of 2d-4d wall-crossing and curve-valued Landau-Ginzburg potentials. (English) Zbl 1497.53133
Relative stability conditions on Fukaya categories of surfaces. (English) Zbl 1502.14044
Reviewer: Dahye Cho (Stony Brook)
Derived equivalence classification of Brauer graph algebras. (English) Zbl 1516.16012
Reviewer: Bin Zhu (Beijing)
Systolic inequalities for \(\mathrm{K}3\) surfaces via stability conditions. (English) Zbl 1495.14030
Reviewer: Jonathan Lai (London)
Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity. arXiv:2212.14863
Preprint, arXiv:2212.14863 [math.SG] (2022).
Cluster categories from Fukaya categories. arXiv:2209.09442
Preprint, arXiv:2209.09442 [math.SG] (2022).
On Categorical Entropy from the viewpoint of Symplectic Topology. arXiv:2203.12205
Preprint, arXiv:2203.12205 [math.SG] (2022).
Singularity categories of normal crossings surfaces, descent, and mirror symmetry. arXiv:2208.03896
Preprint, arXiv:2208.03896 [math.AG] (2022).
Khovanov multicurves are linear. arXiv:2202.01460
Preprint, arXiv:2202.01460 [math.GT] (2022).
\((A_\infty,2)\)-categories and relative 2-operads. (English) Zbl 1485.18027
Reviewer: Mateusz Stroiński (Uppsala)
Calabi-Yau structures, spherical functors, and shifted symplectic structures. (English) Zbl 1490.14061
Reviewer: Sofia Tirabassi (Stockholm)
Noncommutative homological mirror symmetry of elliptic curves. (English) Zbl 1479.14049
Reviewer: Siu Cheong Lau (Boston)
Dynamical invariants of mapping torus categories. (English) Zbl 1490.14028
Reviewer: Dahye Cho (Stony Brook)
Distinguishing open symplectic mapping tori via their wrapped Fukaya categories. (English) Zbl 1472.53095
The Hall algebras of annuli. (English) Zbl 1507.16036
A gentle introduction to homological mirror symmetry. (English) Zbl 1497.14001
London Mathematical Society Student Texts 99. Cambridge: Cambridge University Press (ISBN 978-1-108-72875-1/pbk; 978-1-108-48350-6/hbk; 978-1-108-69245-8/ebook). xi, 390 p. (2021).
Reviewer: Hulya Arguz (London)
A Lagrangian pictionary. (English) Zbl 1476.53101
Reviewer: Andrea Galasso (Taipei)
Wall-crossing for toric mutations. (English) Zbl 1461.14023
Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 67-89 (2021).
Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. (English) Zbl 1461.37001
Proceedings of Symposia in Pure Mathematics 103, 1. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5591-0/pbk; 978-1-4704-6434-9/ebook). xxi, 516 p. (2021).
In simply connected cotangent bundles, exact Lagrangian cobordisms are \(h\)-cobordisms. (English) Zbl 1464.53103
Homological mirror symmetry of \(\mathbb{C} P^n\) and their products via Morse homotopy. (English) Zbl 1475.53095
The symplectic geometry of higher Auslander algebras: symmetric products of disks. (English) Zbl 1480.16036
Erratum to: “Categorical mirror symmetry on cohomology for a complex genus 2 curve”. (English) Zbl 1457.53062
Towards Homological Mirror Symmetry. arXiv:2108.03931
Preprint, arXiv:2108.03931 [math.SG] (2021).
Homotopy Colimits of DG Categories and Fukaya Categories. arXiv:2109.03411
Preprint, arXiv:2109.03411 [math.SG] (2021).
Topological structure of spaces of stability conditions and topological Fukaya type categories. (English) Zbl 1456.53072
Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 521-538 (2020).
Categorical mirror symmetry on cohomology for a complex genus 2 curve. (English) Zbl 1456.53070
Adv. Math. 375, Article ID 107392, 118 p. (2020); erratum ibid. 381, Article ID 107654, 3 p. (2021).
An extension of the Siegel space of complex abelian varieties and conjectures on stability structures. (English) Zbl 1445.53059
Riemann-Hilbert problems for the resolved conifold and non-perturbative partition functions. (English) Zbl 1485.14103
A stable \(\infty\)-category of Lagrangian cobordisms. (English) Zbl 1462.53076
Reviewer: Manuel de León (Madrid)
Fukaya \(A_{\infty}\)-structures associated to Lefschetz fibrations. IV 1/2. (English) Zbl 1439.53076
Derived equivalences of gentle algebras via Fukaya categories. (English) Zbl 1441.14062
Reviewer: Nicolò Sibilla (Canterbury)
From a class of Calabi-Yau dg algebras to Frobenius manifolds via primitive forms. (English) Zbl 1452.14041
Hori, Kentaro (ed.) et al., Primitive forms and related subjects – Kavli IPMU 2014. Proceedings of the international conference, University of Tokyo, Tokyo, Japan, February 10–14, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 83, 389-415 (2019).
Localizations of the category of \(A_\infty\) categories and internal Homs. (English) Zbl 1442.18030
Reviewer: Najib Idrissi (Paris)
Kuranishi spaces as a 2-category. (English) Zbl 1444.53054
Morgan, John W. (ed.), Virtual fundamental cycles in symplectic topology. Providence, RI: American Mathematical Society (AMS); Stony Brook, NY: Simons Center for Geometry and Physics. Math. Surv. Monogr. 237, 253-298 (2019).
Reviewer: Hubert Gollek (Berlin)
Representations, sheaves and Legendrian \(( 2 , m )\) torus links. (English) Zbl 1428.57011
Reviewer: Akira Asada (Takarazuka)
Topological Fukaya category and mirror symmetry for punctured surfaces. (English) Zbl 1421.53085
MSC:
53D37
18E30
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