Parabolic refined invariants and Macdonald polynomials

DOI10.1007/s00220-014-2184-9zbMath1367.14019arXiv1311.3624OpenAlexW1975952948MaRDI QIDQ2339205

Wu-Yen Chuang, Tony G. Pantev, Duiliu-Emanuel Diaconescu, Ron Y. Donagi

Publication date: 31 March 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3624

zbMATH Keywords

parabolic Higgs bundlesMacDonald polynomialsgeometric engineeringrefined stable pair invariantsHLRV conjecturelocal orbifold curvesparabolic P=W conjecturerefined BPS expansionrefined Gopakumar-Vafa invariants

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Moduli spaces of framed flags of sheaves on the projective plane, Defects, nested instantons and comet-shaped quivers, Topological strings, quiver varieties, and Rogers-Ramanujan identities, Seiberg-Witten for \(\mathrm{Spin}(n)\) with spinors, Meromorphic Higgs bundles and related geometries, Modular Nekrasov-Okounkov formulas, Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures), Intersection cohomology of character varieties for punctured Riemann surfaces, Refined large N duality for knots, Twisted spectral correspondence and torus knots, Motivic Donaldson-Thomas invariants of parabolic Higgs bundles and parabolic connections on a curve, BPS states, torus links and wild character varieties, Multiplicativity of perverse filtration for Hilbert schemes of fibered surfaces, The quiver at the bottom of the twisted nilpotent cone on \(\mathbb P^1\), Perversity equals weight for Painlevé spaces, A Nekrasov-Okounkov formula for Macdonald polynomials, Arithmetic and representation theory of wild character varieties

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