$K$-theory of moduli spaces of sheaves and large Grassmannians

Details $K$-theory of moduli spaces of sheaves and large Grassmannians $K$-theory of moduli spaces of sheaves and large Grassmannians

2012-02-13

arxiv.org/abs/1202.2715v2

Mathematics

Algebraic Geometry

25 pages, no figures

Scientific paper

We prove a theorem classifying the equivariant $K$-theoretic pushforwards of the product of arbitrary Schur functors applied to the tautological bundle on the moduli space of framed rank $r$ torsion-free sheaves on $\mathbb{P}^2$, and its dual. This is done by deriving a formula for similar coefficients on Grassmannian varieties, and by thinking of the moduli space as a class in the $K$-theory of the Grassmannian, in analogy with the construction of the Hilbert scheme when the rank is one. Our motivations stem from some vertex operator calculus studied recently by Nekrasov, Okounkov, and the author when the rank is one, with applications to four-dimensional gauge theory.

Affiliated with

Also associated with

No associations

Rating

$K$-theory of moduli spaces of sheaves and large Grassmannians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $K$-theory of moduli spaces of sheaves and large Grassmannians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $K$-theory of moduli spaces of sheaves and large Grassmannians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682141