• Corpus ID: 12125191

# A GEOMETRIC BOSON-FERMION CORRESPONDENCE

@article{Savage2005AGB,
title={A GEOMETRIC BOSON-FERMION CORRESPONDENCE},
author={Alistair Savage},
journal={arXiv: Representation Theory},
year={2005}
}
• Alistair Savage
• Published 23 August 2005
• Mathematics
• arXiv: Representation Theory
The fixed points of a natural torus action on the Hilbert schemes of points in C 2 are quiver varieties of type A1. The equivariant cohomology of the Hilbert schemes and quiver varieties can be given the structure of bosonic and fermionic Fock spaces respectively. Then the local- ization theorem, which relates the equivariant cohomology of a space with that of its fixed point set, yields a geometric realization of the important boson-fermion correspondence. R´´ Les points fixes d'une action…
10 Citations

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