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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…
Lagrangian cobordism functor in microlocal sheaf theory II
Wenyuan Li
For an exact Lagrangian cobordism between Legendrians in from to whose Legendrian lift is , we prove that sheaves in $Sh_{\widetilde{L}}(M \…
Conjugate Fillings and Legendrian Weaves
Roger Casals, Wenyuan Li
First, we show that conjugate Lagrangian fillings, associated to plabic graphs, and Lagrangian fillings obtained as Reeb pinching sequences are both Hamiltonian isotopic to Lagrang…
Spherical adjunction and Serre functor from microlocalization
Christopher Kuo, Wenyuan Li
For a subanalytic Legendrian , we prove that when is either swappable or a full Legendrian stop, the microlocalization at infinity $m_Λ: \operatorname{Sh}_Λ(…
Lagrangian cobordism functor in microlocal sheaf theory I
Wenyuan Li
Given a Lagrangian cobordism of Legendrian submanifolds from to , we construct a functor $Φ_L^*: Sh^c_{Λ_+}(M) \rightarrow Sh^c_{Λ_-}(M) \otimes_{C_{-*}(Ω_*Λ_-)} C_{…
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…