Sectorial descent for wrapped Fukaya categories
S Ganatra, J Pardon, V Shende - arXiv preprint arXiv:1809.03427, 2018 - arxiv.org
We develop a set of tools for doing computations in and of (partially) wrapped Fukaya
categories. In particular, we prove (1) a descent (cosheaf) property for the wrapped Fukaya …
categories. In particular, we prove (1) a descent (cosheaf) property for the wrapped Fukaya …
Resolutions of toric subvarieties by line bundles and applications
Given any toric subvariety Y of a smooth toric variety X of codimension k, we construct a
length k resolution of under the map of toric Frobenius. The resolutions are built from a …
length k resolution of under the map of toric Frobenius. The resolutions are built from a …
Sheaf quantization in Weinstein symplectic manifolds
D Nadler, V Shende - arXiv preprint arXiv:2007.10154, 2020 - arxiv.org
arXiv:2007.10154v3 [math.SG] 31 Dec 2022 Page 1 arXiv:2007.10154v3 [math.SG] 31 Dec
2022 SHEAF QUANTIZATION IN WEINSTEIN SYMPLECTIC MANIFOLDS DAVID NADLER …
2022 SHEAF QUANTIZATION IN WEINSTEIN SYMPLECTIC MANIFOLDS DAVID NADLER …
Legendrian weaves: N–graph calculus, flag moduli and applications
R Casals, E Zaslow - Geometry & Topology, 2023 - msp.org
We study a class of Legendrian surfaces in contact five-folds by encoding their wavefronts
via planar combinatorial structures. We refer to these surfaces as Legendrian weaves, and …
via planar combinatorial structures. We refer to these surfaces as Legendrian weaves, and …
Knot categorification from mirror symmetry, part II: Lagrangians
M Aganagic - arXiv preprint arXiv:2105.06039, 2021 - arxiv.org
I provide two solutions to the problem of categorifying quantum link invariants, which work
uniformly for all gauge groups and originate in geometry and string theory. The first is based …
uniformly for all gauge groups and originate in geometry and string theory. The first is based …
Mirror symmetry for very affine hypersurfaces
B Gammage, V Shende - Acta Mathematica, 2022 - projecteuclid.org
We show that the category of coherent sheaves on the toric boundary divisor of a smooth
quasi-projective toric DM stack is equivalent to the wrapped Fukaya category of a …
quasi-projective toric DM stack is equivalent to the wrapped Fukaya category of a …
Deformation quantization and perverse sheaves
S Gunningham, P Safronov - arXiv preprint arXiv:2312.07595, 2023 - arxiv.org
Kashiwara, Polesello, Schapira and D'Agnolo defined canonical deformation quantizations
of a holomorphic symplectic manifold and a holomorphic Lagrangian submanifold equipped …
of a holomorphic symplectic manifold and a holomorphic Lagrangian submanifold equipped …
On the Hochschild cohomology of Tamarkin categories
arXiv:2312.11447v1 [math.SG] 18 Dec 2023 On the Hochschild cohomology of Tamarkin
categories Page 1 arXiv:2312.11447v1 [math.SG] 18 Dec 2023 On the Hochschild cohomology …
categories Page 1 arXiv:2312.11447v1 [math.SG] 18 Dec 2023 On the Hochschild cohomology …
Lagrangian skeleta and plane curve singularities
R Casals - Journal of Fixed Point Theory and Applications, 2022 - Springer
We construct closed arboreal Lagrangian skeleta associated to links of isolated plane curve
singularities. This yields closed Lagrangian skeleta for Weinstein pairs (C 2, Λ) and …
singularities. This yields closed Lagrangian skeleta for Weinstein pairs (C 2, Λ) and …
Homological mirror symmetry for hypersurfaces in (ℂ∗) n
M Abouzaid, D Auroux - Geometry & Topology, 2024 - msp.org
We prove a homological mirror symmetry result for maximally degenerating families of
hypersurfaces in (ℂ∗) n (B–model) and their mirror toric Landau–Ginzburg A–models. The …
hypersurfaces in (ℂ∗) n (B–model) and their mirror toric Landau–Ginzburg A–models. The …