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Noncommutative geometry and compactifications of the moduli space of curves
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hamilton, Alastair |
| Copyright Year | 2007 |
| 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. |
| Starting Page | 157 |
| Ending Page | 188 |
| Page Count | 32 |
| File Format | PDF HTM / HTML |
| DOI | 10.4171/JNCG/52 |
| Alternate Webpage(s) | https://arxiv.org/pdf/0710.4603v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0710.4603v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.4171/JNCG%2F52 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
