Trace Homomorphism for Smooth Manifolds
| dc.creator | Ozan, Yildiray | |
| dc.date | 2005-03-21 | |
| dc.date | 2006-07-12 | |
| dc.date.accessioned | 2026-07-07T06:39:37Z | |
| dc.date.available | 2026-07-07T06:39:37Z | |
| dc.description | Let $M$ be a closed connected smooth manifold and $G=\textmd{Diff}_0(M)$ denote the connected component of the diffeomorphism group of $M$ containing the identity. The natural action of $G$ on $M$ induces the trace homomorphism on homology. We show that the image of trace homomorphism is annihilated by the subalgebra of the cohomology ring of $M$, generated by the characteristic classes of $M$. Analogously, if $J$ is an almost complex structure on $M$ and $G$ denotes the identity component of the group of diffeomorphisms of $M$ preserving $J$ then the image of the corresponding trace homomorphism is annihilated by subalgebra generated by the Chern classes of $(M,J)$. | |
| dc.description | 5 pages, minor corrections and some additions | |
| dc.identifier | https://arxiv.org/abs/math/0503411 | |
| dc.identifier | http://arxiv.org/abs/math/0503411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101144 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57S05; 53D35 | |
| dc.title | Trace Homomorphism for Smooth Manifolds | |
| dc.type | text |