Geometry/topology Seminar

High-dimensional anti-surgery for Weinstein manifolds

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Speaker(s): Angela Wu (LSU)
A Legendrian knot in the boundary of a Weinstein domain of dimension $\geq 6$ which bounds a Lagrangian disk can be viewed as the boundary of the co-core of a handle. A Weinstein anti-surgery amounts to carving out this handle from the Weinstein domain. In this talk, I will explain an algorithm which constructs explicit handle decompositions of many of these high-dimensional Weinstein anti-surgery manifolds using a new high-dimensional Legendrian isotopy. I’ll also give a specific application of this algorithm to Lazarev and Sylvan’s class of Weinstein manifolds which they called P-flexible, formed from handle attachment along P-loose Legendrians. This talk is based on work in progress with Ipsita Datta, Oleg Lazarev, and Chindu Mohanakumar.

Physics 119