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SUMMARY:Arborealization and the construction of Floer homotopy types for W
 einstein manifolds - Abigail Ward (Cambridge)
DTSTART:20231115T160000Z
DTEND:20231115T170000Z
UID:TALK207085@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION: Weinstein manifolds are open symplectic manifolds which behav
 e like cotangent bundles in that they retract onto singular Lagrangian ske
 leta\; a Weinstein manifold is said to be arborealizable if the retraction
  can be chosen so that the singularities of the resulting skeleton are all
  particularly simple (or arboreal). We explore the relationship between th
 e arborealizability of a Weinstein manifold X and the topological conditio
 ns that allow one to construct Floer homotopy types associated to the symp
 lectic invariants of X. We prove some partial results\, and in particular 
 we show that any arborealizable Weinstein manifold satisfying 2c_1(X)=0 ha
 s Floer-theoretic invariants which can be defined over the sphere spectrum
 . This is joint work in progress with Daniel Álvarez-Gavela and Tim Large
 .
LOCATION:MR13
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