Cohomology of graph hypersurfaces associated to certain Feynman graphs
| dc.creator | Doryn, Dzmitry | |
| dc.date | 2008-11-03 | |
| dc.date.accessioned | 2026-07-07T10:15:19Z | |
| dc.date.available | 2026-07-07T10:15:19Z | |
| dc.description | To any Feynman graph (with 2n edges) we can associate a hypersurface X\subset\PP^{2n-1}. We study the middle cohomology H^{2n-2}(X) of such hypersurfaces. S. Bloch, H. Esnault, and D. Kreimer (Commun. Math. Phys. 267, 2006) have computed this cohomology for the first series of examples, the wheel with spokes graphs WS_n, n\geq 3. Using the same technique, we introduce the generalized zigzag graphs and prove that W_5(H^{2n-2}(X))=\QQ(-2) for all of them (with W_{*} the weight filtration). Next, we study primitively log divergent graphs with small number of edges and the behavior of graph hypersurfaces under the gluing of graphs. | |
| dc.description | 111 pages, Ph.D. thesis at the University of Duisburg-Essen | |
| dc.identifier | https://arxiv.org/abs/0811.0402 | |
| dc.identifier | http://arxiv.org/abs/0811.0402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173135 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Cohomology of graph hypersurfaces associated to certain Feynman graphs | |
| dc.type | text |