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 language||English (US)|
|Number of pages||39|
|Journal||International Mathematics Research Notices|
|State||Published - 2014|