Wenyuan Li

collaborators

5 papers

math.SG2025

Estimating Reeb chords using microlocal sheaf theory

Wenyuan Li

We show that for a closed Legendrian submanifold in a 1-jet bundle, if there is a sheaf with compact support, perfect stalk and singular support on that Legendrian, then (1) the nu…

math.SG2025

Lagrangian cobordism functor in microlocal sheaf theory I

Wenyuan Li

Given a Lagrangian cobordism $L$ of Legendrian submanifolds from $I^_{-}$ to $I^_{+}$ , we construct a functor $Î¦_L^*: Sh^c_{Î_+}(M) \rightarrow Sh^c_{Î_-}(M) \otimes_{C_{-*}(Î©_*Î_…

math.SG2024

Lagrangian cobordism functor in microlocal sheaf theory II

Wenyuan Li

For an exact Lagrangian cobordism $L$ between Legendrians in $J^{1} (M)$ from $I^_{-}$ to $I^_{+}$ whose Legendrian lift is $L$ , we prove that sheaves in $Sh_{\widetilde{L}}(M…

math.SG2024

Existence of generating families on Lagrangian cobordisms

Wenyuan Li

For an embedded exact Lagrangian cobordism between Legendrian submanifolds in the 1-jet bundle, we prove that a generating family linear at infinity on the Legendrian at the negati…

math.SG2024

Spherical adjunction and Serre functor from microlocalization

Christopher Kuo, Wenyuan Li

For a subanalytic Legendrian $I^ \subseteq S^{*} M$ , we prove that when $I^$ is either swappable or a full Legendrian stop, the microlocalization at infinity $m_Î: \operatorname{Sh}…