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Miraculous Cancellation and Pick's Theorem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Feldman, Kathleen E. |
| Copyright Year | 2007 |
| Abstract | We show that the Cappell-Shaneson version of Pick's theorem for simple lattice polytopes is a consequence of a general relation between characteristic numbers of virtual submanifolds dual to the characteristic classes of a stably almost complex manifold. This relation is analogous to the miraculous cancellation formula of Alvarez-Gaume and Witten, and is imposed by the action of the Landweber-Novikov algebra in the complex cobordism ring of a point. |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/conm/460/09011 |
| Alternate Webpage(s) | http://arxiv.org/pdf/0710.0828v1.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/0710.0828v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/conm%2F460%2F09011 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
