Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896229 | Journal of Geometry and Physics | 2012 | 18 Pages |
Abstract
In this work we compute the topological Euler characteristic of the moduli space of stable sheaves of Hilbert polynomial 4n+14n+1 on P2P2 to be 192, using tools of algebraic geometry. This Euler characteristic is equal up to sign to the degree 4 BPS (Gopakumar–Vafa) invariant of local P2P2, a (noncompact) Calabi–Yau 3-fold. This is a new result verifying an instance of conjecture motivated by physics.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Mehmet Sahin,