Refined Chern-Simons theory and Hilbert schemes of points on the plane

zbMath1298.14008arXiv1211.5821MaRDI QIDQ2875946

Hiraku Nakajima

Publication date: 12 August 2014

Full work available at URL: https://arxiv.org/abs/1211.5821

zbMATH Keywords

Chern-Simons theoryHilbert scheme of points in the plane

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items

String theory and math: Why this marriage may last. Mathematics and dualities of quantum physics ⋮ Wall-crossing between stable and co-stable ADHM data ⋮ Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess-Zumino-Witten fusion rings ⋮ Lectures on knot homology ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ Junctions of surface operators and categorification of quantum groups ⋮ Refined knot invariants and Hilbert schemes ⋮ Refined Chern-Simons theory and \((q, t)\)-deformed Yang-Mills theory: semi-classical expansion and planar limit ⋮ Evaluations of annular Khovanov-Rozansky homology