The gerby Gopakumar–Mariño–Vafa formula

Ross, Dustin¹ ; Zong, Zhengyu²

¹ Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
² Department of Mathematics, Columbia University, New York, NY 10027, USA

Geometry & topology, Tome 17 (2013) no. 5, pp. 2935-2976.

Résumé

We prove a formula for certain cubic ${\mathbb{Z}}_n$–Hodge integrals in terms of loop Schur functions. We use this identity to prove the Gromov–Witten/Donaldson–Thomas correspondence for local ${\mathbb{Z}}_n$–gerbes over ${\mathbb{P}}^1$.

Détail

DOI : 10.2140/gt.2013.17.2935

Classification : 05E05, 14N35, 53D45
Keywords: Gromov–Witten, Donaldson–Thomas, loop Schur

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