PreprintCC BY 4.0arXiv
Quantum field theory and four-manifolds: Perspectives from physics and geometry
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.
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BibTeX
@misc{garner2026quantum,
title = {{Quantum field theory and four-manifolds: Perspectives from physics and geometry}},
author = {Niklas Garner and Martijn Kool and Jan Manschot and Yuuji Tanaka},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30288},
eprint = {2610.30288},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30288},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum field theory and four-manifolds: Perspectives from physics and geometry
AU - Niklas Garner
AU - Martijn Kool
AU - Jan Manschot
AU - Yuuji Tanaka
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.30288
UR - https://arxiv.org/abs/2610.30288
AB - 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.
ER -