Enumerative geometry and knot invariants

TL;DR

This paper reviews the duality between string theory and gauge theory, exploring its implications for knot invariants and enumerative geometry within the context of topological strings and Calabi-Yau manifolds.

Contribution

It synthesizes the relationship between Chern-Simons theory, topological strings, and mathematical knot invariants, highlighting new insights into enumerative geometry.

Findings

Connection between Chern-Simons theory and topological strings clarified

Mathematical implications for knot invariants discussed

Impacts on enumerative geometry explored

Abstract

We review the string/gauge theory duality relating Chern-Simons theory and topological strings on noncompact Calabi-Yau manifolds, as well as its mathematical implications for knot invariants and enumerative geometry.