Memoirs of the American Mathematical Society
2 total works
Cornered Heegaard Floer Homology
by Christopher L. Douglas, Robert Lipshitz, and Ciprian Manolescu
Published 30 June 2020
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
Dualizable Tensor Categories
by Christopher L. Douglas, Christopher Schommer-Pries, and Noah Snyder
Published 1 July 2021