Chain-level equivariant string topology: algebra versus analysis
Algebraic Topology
2023-12-20 v2 Symplectic Geometry
Abstract
We prove that on 2-connected closed oriented manifolds, the analytic and algebraic constructions of an IBL structure associated to a closed oriented manifold coincide. The corresponding structure is invariant under orientation preserving homotopy equivalences and induces on homology the involutive Lie bialgebra structure of Chas and Sullivan.
Keywords
Cite
@article{arxiv.2202.06837,
title = {Chain-level equivariant string topology: algebra versus analysis},
author = {Kai Cieliebak and Pavel Hajek and Evgeny Volkov},
journal= {arXiv preprint arXiv:2202.06837},
year = {2023}
}
Comments
Title changed from "Chain-level equivariant string topology for simply connected manifolds". 45p