arXiv 0809.40102008-09math.RTmath.AG

Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves

Anthony Licata, Alistair Savage

备注：: 36 pages; v2: Definition of geometric Heisenberg operators modified; v3: Minor typos corrected
发表信息：: Selecta Math. 16 (2010), no. 16, 201-240
DOI：: 10.1007/s00029-009-0015-1

英文摘要：

We define complexes of vector bundles on products of moduli spaces of framed rank r torsion-free sheaves on the complex projective plane. The top non-vanishing Chern classes of the cohomology of these complexes yield actions of the r-colored Heisenberg and Clifford algebras on the equivariant cohomology of the moduli spaces. In this way we obtain a geometric realization of the boson-fermion correspondence and related vertex operators.

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