Fusion and fission in graph complexes
| dc.creator | Conant, James | |
| dc.date | 2002-08-12 | |
| dc.date | 2003-08-08 | |
| dc.date.accessioned | 2026-07-07T04:50:12Z | |
| dc.date.available | 2026-07-07T04:50:12Z | |
| dc.description | We analyze a functor from cyclic operads to chain complexes first considered by Getzler and Kapranov and also Markl. This functor is a generalization of the graph homology considered by Kontsevich, which was defined for the three operads Comm, Assoc, and Lie. More specifically we show that these chain complexes have a rich algebraic structure in the form of families of operations defined by fusion and fission. These operations fit together to form uncountably many Lie-infinity and co-Lie-infinity structures. In particular, the chain complexes have a bracket and cobracket which are compatible in the Lie bialgebra sense on a certain natural subcomplex. | |
| dc.description | This is the final version. The published version, which is slightly different, is available at http://nyjm.albany.edu:8000/PacJ/2003/v209-2.htm | |
| dc.identifier | https://arxiv.org/abs/math/0208093 | |
| dc.identifier | http://arxiv.org/abs/math/0208093 | |
| dc.identifier | Pac. J. Math, Vol. 209, No. 2, (2003) 219-230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64705 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Geometric Topology | |
| dc.subject | 17B62,17B63,17B70,20F28,57M07,57M15,57M27 | |
| dc.title | Fusion and fission in graph complexes | |
| dc.type | text |