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Willwacher, Thomas; Živković, Marko (2015). Multiple edges in M. Kontsevich's graph complexes and computations of the dimensions and Euler characteristics. Advances in Mathematics, 272:553-578.
We provide a generating function for the (graded) dimensions of M. Kontsevich's graph complexes of ordinary graphs. This generating function can be used to compute the Euler characteristic in each loop order. Furthermore, we show that graphs with multiple edges can be omitted from these graph complexes.
| Item Type: | Journal Article, refereed, original work |
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| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 6 February 2015 |
| Deposited On: | 28 Jan 2016 07:39 |
| Last Modified: | 14 Sep 2024 01:37 |
| Publisher: | Elsevier |
| ISSN: | 0001-8708 |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1016/j.aim.2014.12.010 |
| Project Information: |
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Willwacher, Thomas