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

Abstract

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.

arXiv commentPHD thesis. Part I is a slightly corrected version of arXiv:1811.05281

References in corpus (10)

• String Topology
• Perturbative quantum gauge theories on manifolds with boundary
• On manifolds with corners
• Remarks on Chern-Simons invariants
• A polarized view of string topology
• Symplectic cohomology and Viterbo's theorem
• Quantum Open-Closed Homotopy Algebra and String Field Theory
• Algebra+Homotopy=Operad
• Quantum $L_{\infty }$ Algebras and the Homological Perturbation Lemma
• Twisted IBL-infinity-algebra and string topology: First look and examples

Cited by in corpus (2)

• Eight flavours of cyclic homology
• Cumulants, Koszul brackets and homological perturbation theory for commutative $B{V}_{\infty }$ and $IB{L}_{\infty }$ algebras