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math.SG2018
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…
math.SG2018★ 5 cited
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…