Classes on compactifications of the moduli space of curves through solutions to the quantum master equation

DOI10.1007/s11005-009-0310-yzbMath1245.14014arXiv0807.2270OpenAlexW1978445448MaRDI QIDQ1039592

Alastair Hamilton

Publication date: 23 November 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2270

zbMATH Keywords

noncommutative geometrydeformation theorymoduli space of curves\(A_{\infty }\)-algebraMaurer-Cartan set

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Homological methods in Lie (super)algebras (17B55) Lie bialgebras; Lie coalgebras (17B62) Deformations of associative rings (16S80) Algebraic topology of manifolds (57N65) Fine and coarse moduli spaces (14D22)

Related Items

Minimal models of quantum homotopy Lie algebras via the BV-formalism ⋮ Classes on the moduli space of Riemann surfaces through a noncommutative Batalin-Vilkovisky formalism ⋮ Noncommutative geometry and compactifications of the moduli space of curves ⋮ Open-closed moduli spaces and related algebraic structures ⋮ Large \(N\) phenomena and quantization of the Loday-Quillen-Tsygan theorem ⋮ Unimodular homotopy algebras and Chern-Simons theory

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