IBL-Infinity Model of String Topology from Perturbative Chern-Simons Theory

Pavel Hajek

IBL-Infinity Model of String Topology from Perturbative Chern-Simons Theory

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arxiv 2003.07933 v1 pith:6A5YN7QE submitted 2020-03-17 math-ph math.ATmath.MP

IBL-Infinity Model of String Topology from Perturbative Chern-Simons Theory

Pavel Hajek This is my paper

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keywords ibl-infinitymodelstringtopologychainchern-simonscieliebakcochains

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Following Cieliebak, Fukaya, Latschev and Volkov, we construct an IBL-infinity chain model for equivariant string topology on cyclic Hochschild cochains of de Rham cohomology. We study its properties and perform explicit computations.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

String topology operations under Chen's iterated integrals and homotopy transfer
math.DG 2026-07 accept novelty 6.0

Chen iterated integrals plus homotopy transfer intertwine the involutive Lie bialgebra of S1-equivariant string topology with the IBL operations on the dual cyclic bar complex of a harmonic subspace.