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19962022
most citedFloer homology and the heat flow

133 citations · 550 across the 27 of their papers we have counts for

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9 papers · 1 filter

math.SG2021

The regularized free fall II -- Homology computation via heat flow

Urs Frauenfelder, Joa Weber

In [BOV20] Barutello, Ortega, and Verzini introduced a non-local functional which regularizes the free fall. This functional has a critical point at infinity and therefore does not…

math.SG2019

Scale Calculus and M-Polyfolds -- An Introduction

Joa Weber

These are lecture notes on scale calculus and M-polyfolds written for a graduate course at UNICAMP March-June 2018 and an advanced mini-course given during the biannual meeting of…

math.SG2018★ 7 cited

The shift map on Floer trajectory spaces

Urs Frauenfelder, Joa Weber

In this article we give a uniform proof why the shift map on Floer homology trajectory spaces is scale smooth. This proof works for various Floer homologies, periodic, Lagrangian,…

math.SG2018★ 2 cited

Topological Methods in the Quest for Periodic Orbits

Joa Weber

These are lecture notes on Floer and Rabinowitz-Floer homology written for a graduate course at UNICAMP August-December 2016 and a mini-course held at IMPA in August 2017.

math.SG2013★ 4 cited

An almost existence theorem for non-contractible periodic orbits in cotangent bundles

Pedro A. S. Salomão, Joa Weber

Assume M is a closed connected smooth manifold and H:T^*M->R a smooth proper function bounded from below. Suppose the sublevel set {H<d} contains the zero section and αis a non-tri…

math.SG2006★ 4 cited

Three approaches towards Floer homology of cotangent bundles

Joa Weber

Consider the cotangent bundle of a closed Riemannian manifold and an almost complex structure close to the one induced by the Riemannian metric. For Hamiltonians which grow for ins…