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Equivariant K-theory of Gkm Bundles Publisher Accessed Terms of Use Detailed Terms Equivariant K-theory of Gkm Bundles
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sabatini, Silvia |
| Copyright Year | 2012 |
| Abstract | Given a fiber bundle of GKM spaces, π : M → B, we analyze the structure of the equivariant K-ring of M as a module over the equivariant K-ring of B by translating the fiber bundle, π, into a fiber bundle of GKM graphs and constructing, by combinatorial techniques, a basis of this module consisting of K-classes which are invariant under the natural holonomy action on the K-ring of M of the fundamental group of the GKM graph of B. We also discuss the implications of this result for fiber bundles π : M → B where M and B are generalized partial flag varieties and show how our GKM description of the equivariant K-ring of a homogeneous GKM space is related to the Kostant-Kumar description of this ring. MSC: Primary 55R91; Secondary 19L47; 05C90 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://dspace.mit.edu/openaccess-disseminate/1721.1/80277 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
