Microlocal Morse theory of wrapped Fukaya categories
S Ganatra, J Pardon, V Shende - arXiv preprint arXiv:1809.08807, 2018 - arxiv.org
The Nadler--Zaslow correspondence famously identifies the finite-dimensional Floer
homology groups between Lagrangians in cotangent bundles with the finite-dimensional …
homology groups between Lagrangians in cotangent bundles with the finite-dimensional …
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 …
On partially wrapped Fukaya categories
Z Sylvan - Journal of Topology, 2019 - Wiley Online Library
We define a new class of symplectic objects called 'stops', which, roughly speaking, are
Liouville hypersurfaces in the boundary of a Liouville domain. Locally, these can be viewed …
Liouville hypersurfaces in the boundary of a Liouville domain. Locally, these can be viewed …
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 …
Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors
B Chantraine, GD Rizell, P Ghiggini… - arXiv preprint arXiv …, 2017 - arxiv.org
We prove that the wrapped Fukaya category of any $2 n $-dimensional Weinstein manifold
(or, more generally, Weinstein sector) $ W $ is generated by the unstable manifolds of the …
(or, more generally, Weinstein sector) $ W $ is generated by the unstable manifolds of the …
Secondary products in supersymmetric field theory
The product of local operators in a topological quantum field theory in dimension greater
than one is commutative, as is more generally the product of extended operators of …
than one is commutative, as is more generally the product of extended operators of …
Bounds on spectral norms and barcodes
A Kislev, E Shelukhin - Geometry & Topology, 2022 - msp.org
We investigate the relations between algebraic structures, spectral invariants and
persistence modules, in the context of monotone Lagrangian Floer homology with …
persistence modules, in the context of monotone Lagrangian Floer homology with …
[PDF][PDF] Weinstein manifolds revisited
Y Eliashberg - arXiv preprint arXiv:1707.03442, 2017 - arxiv.org
Weinstein manifolds revisited arXiv:1707.03442v2 [math.SG] 29 Aug 2017 Page 1 Weinstein
manifolds revisited Yakov Eliashberg ∗ Department of Mathematics, Stanford University Abstract …
manifolds revisited Yakov Eliashberg ∗ Department of Mathematics, Stanford University Abstract …
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 …