237 citations · 1.2k across the 58 of their papers we have counts for
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K-theoretic Donaldson invariants via instanton counting
Lothar Göttsche, Hiraku Nakajima, Kota Yoshioka
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 viewe…
--analogs of --characters of quantum affine algebras of type , ,
Hiraku Nakajima
We compute --analogs of --characters of all --fundamental representations of the quantum affine algebras of type , , by a supercomputer.…
Level 0 Monomial crystals
David Hernandez, Hiraku Nakajima
We study the monomial crystal defined by the second author. We show that each component of the monomial crystal can be embedded into a crystal of an extremal weight module introduc…
Instanton counting and Donaldson invariants
Lothar Göttsche, Hiraku Nakajima, Kota Yoshioka
For a smooth projective toric surface we determine the Donaldson invariants and their wallcrossing in terms of the Nekrasov partition function. Using the solution of the Nekrasov c…