110 citations · 299 across the 28 of their papers we have counts for
30 papers
Resonances and string point invertibility for compact rank one symmetric spaces
Kai Cieliebak, Alexandru Oancea, Egor Shelukhin
We calculate the Batalin-Vilkovisky (BV) algebra structure of Rabinowitz loop homology for compact rank one symmetric spaces. As a consequence, we prove that such a space satisfies…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
Rabinowitz Floer homology as a Tate vector space
Kai Cieliebak, Alexandru Oancea
We show that the category of linearly topologized vector spaces over discrete fields constitutes the correct framework for algebraic structures on Floer homologies with field coeff…
Floer Homology with DG Coefficients. Applications to cotangent bundles
Jean-François Barraud, Mihai Damian, Vincent Humilière +1
We define Hamiltonian Floer homology with differential graded (DG) local coefficients for symplectically aspherical manifolds. The differential of the underlying complex involves c…
BV bialgebra structures in Floer theory and string topology
Janko Latschev, Alexandru Oancea
We derive the notions of BV unital infinitesimal bialgebra and BV Frobenius algebra from the topology of suitable compactifications of moduli spaces of decorated genus 0 curves. We…
Morse homology with DG coefficients
Jean-François Barraud, Mihai Damian, Vincent Humilière +1
We develop a theory of Morse homology and cohomology with coefficients in a derived local system, for manifolds and also more generally for colimits of spaces that have the homotop…