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6 papers
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…
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…
Reduced symplectic homology and string topology
Kai Cieliebak, Alexandru Oancea
We introduce a common domain of definition for the loop product and the loop coproduct, reduced loop homology, on which they combine to a unital infinitesimal anti-symmetric bialge…
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…
Poincaré duality for loop spaces
Kai Cieliebak, Nancy Hingston, Alexandru Oancea
We show that Rabinowitz Floer homology and cohomology carry the structure of a graded Frobenius algebra for both closed and open strings. We prove a Poincaré duality theorem betwe…
The Deligne-Mumford operad as a trivialization of the circle action
Alexandru Oancea, Dmitry Vaintrob
We prove that the tree-like Deligne-Mumford operad is a homotopical model for the trivialization of the circle in the higher-genus framed little discs operad. Our proof is based on…