Work

Quantum field theory and four-manifolds: Perspectives from physics and geometry

Year: 2026

Type: preprint

Abstract: These lecture notes are based on lecture series by the authors for the Summer School 2025 on ``Physical mathematics of quantum field theory" at the University of Massachusetts Amherst organized by Owen Gwilliam, Chris Elliott, and Matteo Lotito. The lectures centred around algebraic structures arising from twists of supersymmetric quantum field theories, correlation functions of topologically twisted supersymmetric gauge theories, and their mathematical counterparts as intersection-theoretic invariants associated to moduli spaces of instantons, semistable sheaves, or Higgs sheaves on four-manifolds or complex projective surfaces.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.30288

Authors: Garner, Niklas, Kool, Martijn, Manschot, Jan, Tanaka, Yuuji

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Okinawa Institute of Science and Technology Graduate University, Japan Society for the Promotion of Science

Awards: CAREER: Factorization Algebras in Quantum Field Theory, G4526601215, G8759514149

OpenAlex ID: W7223390305

Cites: 110

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Related to: 10