77 citations · 250 across the 23 of their papers we have counts for
31 papers
Polyfold fundamental classes and globally structured multivalued perturbations
Dusa McDuff, Katrin Wehrheim
Work of Hofer--Wysocki--Zehnder has shown that many spaces of pseudoholomorphic curves that arise when studying symplectic manifolds may be described as the zero set of a polyfold…
A Polyfold proof of Gromov's Non-squeezing Theorem
Franziska Beckschulte, Ipsita Datta, Irene Seifert +2
We re-prove Gromov's non-squeezing theorem by applying Polyfold Theory to a simple Gromov-Witten moduli space. Thus we demonstrate how to utilize the work of Hofer-Wysocki-Zehnder…
A Polyfold Proof of the Arnold Conjecture
Benjamin Filippenko, Katrin Wehrheim
We give a detailed proof of the homological Arnold conjecture for nondegenerate periodic Hamiltonians on general closed symplectic manifolds via a direct Piunikhin-Salamon-Schw…
Counterexamples in Scale Calculus
Benjamin Filippenko, Zhengyi Zhou, Katrin Wehrheim
We construct counterexamples to classical calculus facts such as the Inverse and Implicit Function Theorems in Scale Calculus -- a generalization of Multivariable Calculus to infin…
Floer Field Philosophy
Katrin Wehrheim
Floer field theory is a construction principle for e.g. 3-manifold invariants via decomposition in a bordism category and a functor to the symplectic category, and is conjectured t…
Floer field theory for coprime rank and degree
Katrin Wehrheim, Chris Woodward
We construct partial category-valued field theories in (2+1)-dimensions using Lagrangian Floer theory in moduli spaces of central-curvature unitary connections with fixed determina…