Noncommutative geometry and compactifications of the moduli space of curves

DOI10.4171/JNCG/52zbMath1193.14016arXiv0710.4603OpenAlexW2963582200MaRDI QIDQ961993

Alastair Hamilton

Publication date: 1 April 2010

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4603

zbMATH Keywords

noncommutative geometrymoduli spaceshomology theoryLie bialgebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Triangulating manifolds (57Q15) Lie bialgebras; Lie coalgebras (17B62) Cohomology of Lie (super)algebras (17B56) Fine and coarse moduli spaces (14D22)

Related Items (8)

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 ⋮ Quantization of the Lie bialgebra of string topology ⋮ On the extension of a TCFT to the boundary of the moduli space ⋮ Lie bialgebra structure on cyclic cohomology of Fukaya categories ⋮ Open-closed moduli spaces and related algebraic structures ⋮ Classes on compactifications of the moduli space of curves through solutions to the quantum master equation ⋮ Large \(N\) phenomena and quantization of the Loday-Quillen-Tsygan theorem

Cites Work

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• A super-analogue of Kontsevich's theorem on graph homology
• Modular Operads and Batalin-Vilkovisky Geometry
• Non-commutative symplectic geometry, quiver varieties, and operads

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