K-theory of torus manifolds
| dc.creator | Uma, V. | |
| dc.date | 2006-07-31 | |
| dc.date.accessioned | 2026-07-07T07:21:11Z | |
| dc.date.available | 2026-07-07T07:21:11Z | |
| dc.description | The {\it torus manifolds} have been defined and studied by M. Masuda and T. Panov (arXiv:math.AT/0306100) who in particular describe its cohomology ring structure. In this note we shall describe the topological $K$-ring of a class of torus manifolds (those for which the orbit space under the action of the compact torus is a {\it homology polytope} whose {\it nerve} is a {shellable} simplicial complex) in terms of generators and relations. Since these torus manifolds include the class of quasi-toric manifolds this is a generalisation of earlier results due to the author and P. Sankaran (arXiv: math.AG/0504107). | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607804 | |
| dc.identifier | http://arxiv.org/abs/math/0607804 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115215 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Commutative Algebra | |
| dc.subject | 55N15; 13F55 | |
| dc.title | K-theory of torus manifolds | |
| dc.type | text |