Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K-theoretic Donaldson invariants via instanton counting   In this paper we study the holomorphic Euler characteristics of determinant
line bundles on moduli spaces of rank 2 semistable sheaves on an algebraic
surface X, which can be viewed as $K$-theoretic versions of the Donaldson
invariants. In particular, if X is a smooth projective toric surface, we
determine these invariants and their wallcrossing in terms of the K-theoretic
version of the Nekrasov partition function (called 5-dimensional supersymmetric
Yang-Mills theory compactified on a circle in the physics literature). Using
the results of math.AG/0606180 we give an explicit generating function for the
wallcrossing of these invariants in terms of elliptic functions and modular
forms.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin