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Media type:
E-Article
Title:
Donaldson–Thomas theory of 𝒜n×P1
Contributor:
Maulik, Davesh;
Oblomkov, Alexei
Published:
Wiley, 2009
Published in:
Compositio Mathematica, 145 (2009) 5, Seite 1249-1276
Language:
English
DOI:
10.1112/s0010437x09003972
ISSN:
0010-437X;
1570-5846
Origination:
Footnote:
Description:
AbstractWe study the relative Donaldson–Thomas theory of 𝒜n×P1, where 𝒜n is the surface resolution of type An singularity. The action of divisor operators in the theory is expressed in terms of operators of the affine algebra $\glh $ on Fock space. Assuming a nondegeneracy conjecture, this gives a complete solution for the theory. The results complete the comparison of this theory with the Gromov–Witten theory of 𝒜n×P1 and the quantum cohomology of the Hilbert scheme of points on 𝒜n.