77 citations · 250 across the 23 of their papers we have counts for
7 papers · 2 filters
The topology of Kuranishi atlases
Dusa McDuff, Katrin Wehrheim
Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regular…
The fundamental class of smooth Kuranishi atlases with trivial isotropy
Dusa McDuff, Katrin Wehrheim
Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regular…
Smooth Kuranishi atlases with isotropy
Dusa McDuff, Katrin Wehrheim
Kuranishi structures were introduced in the 1990s by Fukaya and Ono for the purpose of assigning a virtual cycle to moduli spaces of pseudoholomorphic curves that cannot be regular…
Orientations for pseudoholomorphic quilts
Katrin Wehrheim, Chris Woodward
We construct orientations on moduli spaces of pseudoholomorphic quilts with seam conditions in Lagrangian correspondences equipped with relative spin structures and determine the e…
Floer field theory for tangles
Katrin Wehrheim, Chris Woodward
We use quilted Floer theory to construct functor-valued invariants of tangles arising from moduli spaces of flat bundles on punctured surfaces. As an application, we show the non-t…
Exact triangle for fibered Dehn twists
Katrin Wehrheim, Chris Woodward
We use quilted Floer theory to generalize Seidel's long exact sequence in symplectic Floer theory to fibered Dehn twists. We then apply it to construct versions of the Floer and Kh…
Gromov compactness for squiggly strip shrinking in pseudoholomorphic quilts
Nathaniel Bottman, Katrin Wehrheim
We establish a Gromov compactness theorem for strip shrinking in pseudoholomorphic quilts when composition of Lagrangian correspondences is immersed. In particular, we show that fi…