138-page lecture notes on QFT and four-manifolds released from UMass Amherst summer school
fkasummer · x · 2026-10-24
A 138-page set of lecture notes, "Quantum field theory and four-manifolds: Perspectives from physics and geometry," by Niklas Garner, Martijn Kool, Jan Manschot, and Yuuji Tanaka is now on arXiv, based on the 2025 "Physical mathematics of quantum field theory" summer school at UMass Amherst.
Key topics:
- Algebraic structures arising from twists of supersymmetric QFTs;
- Correlation functions of topologically twisted supersymmetric gauge theories;
- Their mathematical counterparts as intersection-theoretic invariants tied to moduli spaces of instantons, semistable sheaves, or Higgs sheaves on four-manifolds and complex projective surfaces.
Spanning hep-th, algebraic/differential geometry, geometric topology, and quantum algebra, with PDF and HTML full text available.
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