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math.SG2022
Functoriality in categorical symplectic geometry
Mohammed Abouzaid, Nathaniel Bottman
Categorical symplectic geometry is the study of a rich collection of invariants of symplectic manifolds, including the Fukaya -category, Floer cohomology, and symplectic…
math.SG2022★ 2 cited
Framed structures in Floer theory
Mohammed Abouzaid, Yoel Groman, Umut Varolgunes
We resolve the long-standing problem of constructing the action of the operad of framed (stable) genus- curves on Hamiltonian Floer theory; this operad is equivalent to the fram…
math.SG2022★ 2 cited
An axiomatic approach to virtual chains
Mohammed Abouzaid
We introduce a category of Kuranishi presentations, whose objects are a variant of the Kuranishi structures introduced by Fukaya and Ono, and which can be seen as a refinement of t…