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 …
Lagrangian cobordism. I
P Biran, O Cornea - Journal of the American Mathematical Society, 2013 - ams.org
We discuss Lagrangian cobordism between Lagrangian submanifolds (in the monotone
setting) and we show that Lagrangian Floer and quantum homologies are rigid with respect …
setting) and we show that Lagrangian Floer and quantum homologies are rigid with respect …
Lagrangian cobordism and Fukaya categories
P Biran, O Cornea - Geometric and functional analysis, 2014 - Springer
Given a symplectic manifold M we consider a category with objects finite ordered families of
Lagrangian submanifolds of M (subject to certain additional constraints) and with morphisms …
Lagrangian submanifolds of M (subject to certain additional constraints) and with morphisms …
Could∞-category theory be taught to undergraduates
E Riehl - Notices of the American Mathematical Society, 2023 - ams.org
DOI: https://doi. org/10.1090/noti2692 this graph is reflexive, with the constant path refl𝑥 at
each point 𝑥∈ 𝑋 defining a distinguished endoarrow. Can this reflexive directed graph be …
each point 𝑥∈ 𝑋 defining a distinguished endoarrow. Can this reflexive directed graph be …
Formalizing the∞-Categorical Yoneda Lemma
Formalized 1-category theory forms a core component of various libraries of mathematical
proofs. However, more sophisticated results in fields from algebraic topology to theoretical …
proofs. However, more sophisticated results in fields from algebraic topology to theoretical …
Brane structures in microlocal sheaf theory
X Jin, D Treumann - arXiv preprint arXiv:1704.04291, 2017 - arxiv.org
Let $ L $ be an exact Lagrangian submanifold of a cotangent bundle $ T^* M $, asymptotic
to a Legendrian submanifold $\Lambda\subset T^{\infty} M $. We study a locally constant …
to a Legendrian submanifold $\Lambda\subset T^{\infty} M $. We study a locally constant …
Symplectic flexibility and the Grothendieck group of the Fukaya category
O Lazarev - Journal of Topology, 2022 - Wiley Online Library
In the previous work, the author used symplectic flexibility techniques to prove an upper
bound on the number of generators of the wrapped Fukaya category of a high‐dimensional …
bound on the number of generators of the wrapped Fukaya category of a high‐dimensional …
Sectorial descent for wrapped Fukaya categories
S Ganatra, J Pardon, V Shende - Journal of the American Mathematical …, 2024 - ams.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 …
Ribbon graphs and mirror symmetry
N Sibilla, D Treumann, E Zaslow - Selecta Mathematica, 2014 - Springer
Given a ribbon graph Γ Γ with some extra structure, we define, using constructible sheaves,
a dg category CPM (Γ) CPM (Γ) meant to model the Fukaya category of a Riemann surface …
a dg category CPM (Γ) CPM (Γ) meant to model the Fukaya category of a Riemann surface …
Lagrangian cobordisms in Liouville manifolds
V Bosshard - Journal of Topology and Analysis, 2022 - World Scientific
Floer theory for Lagrangian cobordisms was developed by Biran and Cornea in a series of
papers [Lagrangian cobordism. I, J. Amer. Math. Soc. 26 (2013) 295–340; Lagrangian …
papers [Lagrangian cobordism. I, J. Amer. Math. Soc. 26 (2013) 295–340; Lagrangian …