# Noncommutative geometry and compactifications of the moduli space of curves

@article{Hamilton2007NoncommutativeGA,
title={Noncommutative geometry and compactifications of the moduli space of curves},
author={Alastair Hamilton},
journal={arXiv: Quantum Algebra},
year={2007}
}
• A. Hamilton
• Published 2007
• Mathematics
• arXiv: Quantum Algebra
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… Expand

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