Injectivity of the cycle map for finite-dimensional W-algebras

Research output: Contribution to journalArticlepeer-review


We study a cycle map defined on finite-dimensional modules for the W-algebra with regular integral central character. By comparison with the theory in positive characteristic, we show that this map injects into the top Borel–Moore homology group of a Springer fiber. This is the first result in a larger program to completely describe the finite-dimensional modules for the W algebras.
Original languageEnglish (US)
Pages (from-to)5398-5436
Number of pages39
JournalInternational Mathematics Research Notices
Issue number19
StatePublished - 2014


Dive into the research topics of 'Injectivity of the cycle map for finite-dimensional W-algebras'. Together they form a unique fingerprint.

Cite this