A graphical calculus for 2-block Spaltenstein varieties
Representation Theory
2012-02-29 v1 Combinatorics
Abstract
We generalise statements known about Springer fibres associated to nilpotents with 2 Jordan blocks to Spaltenstein varieties. We study the geometry of generalised irreducible components (i.e. Bialynicki-Birula cells) and their pairwise intersections. In particular we develop a graphical calculus which encodes their structure as iterated fibre bundles with CP^1 as base spaces and compute their cohomology. At the end we present a connection with coloured cobordisms generalising a construction of Khovanov and Stroppel.
Cite
@article{arxiv.1202.6247,
title = {A graphical calculus for 2-block Spaltenstein varieties},
author = {Gisa Schäfer},
journal= {arXiv preprint arXiv:1202.6247},
year = {2012}
}
Comments
Final version to appear in Glasgow Math. Journal