The Refined Topological Vertex

Abstract

We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the self-dual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a two-parameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants.

70 Pages, 23 Figures

References in corpus (2)

• Instanton counting on blowup. II. $K$-theoretic partition function
• Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory

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