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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
1
answer
579
views
fundamental group of moduli spaces of sheaves
I am considering moduli spaces of sheaves on irreducible holomorphic symplectic manifolds.
I haven't seen a general theory to describe the fundamental group of moduli spaces of sheaves yet. Is there s …
7
votes
2
answers
2k
views
trace of the atiyah class equals chern class
In several textbooks ("The Geometry of Moduli Spaces of Sheaves" by Huybrechts and Lehn, "Calcul differentiel et classes caracteristiques..." by Angeniol and Lejeune-Jalabert) it is mentioned that the …