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- W2963582200 abstract "In this paper we show that the homology of a certain natural compactification of the moduli space, introduced by Kontsevich in his study of Witten’s conjectures, can be described completely algebraically as the homology of a certain differential graded Lie algebra. This two-parameter family is constructed by using a Lie cobracket on the space of noncommutative 0-forms, a structure which corresponds to pinching simple closed curves on a Riemann surface, to deform the noncommutative symplectic geometry described by Kontsevich in his subsequent papers." @default.
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- W2963582200 date "2010-01-01" @default.
- W2963582200 modified "2023-09-24" @default.
- W2963582200 title "Noncommutative geometry and compactifications of the moduli space of curves" @default.
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- W2963582200 doi "https://doi.org/10.4171/jncg/52" @default.
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