Equivariant K-theory of GKM bundles
Name
Guillemin_Equivariant k-theory.pdf
Size
216.88 KB
Format
Adobe PDF
Checksum (MD5)
7894a741c45fee8f4762293a107a9c30
Author(s)
Sabatini, Silvia
Zara, Catalin
Guillemin, Victor W.
Date Issued
May 2012
Journal
Annals of Global Analysis and Geometry
Publisher
Springer-Verlag
Citation
Guillemin, Victor, Silvia Sabatini, and Catalin Zara. “Equivariant K-theory of GKM bundles.” Annals of Global Analysis and Geometry 43, no. 1 (January 17, 2013): 31-45.
Version
Original manuscript
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.
Description
Original manuscript March 5, 2012
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s10455-012-9331-3
