Abstract:
We define the concept of an affinized projective variety and show how one can, in principle, obtain q-identities by different ways of computing the Hilbert series of such a variety. We carry out this program for projective varieties associated to quadratic monomial ideals. The resulting identities have applications in describing systems of quasi-particles containing null-states and can be interpreted as alternating sums of quasi-particle Fock space characters.
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Received: 16 March 1999 / Accepted: 15 October 1999
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Bouwknegt, P. q-Identities and Affinized Projective Varieties¶I. Quadratic Monomial Ideals. Comm Math Phys 210, 641–661 (2000). https://doi.org/10.1007/s002200050794
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DOI: https://doi.org/10.1007/s002200050794