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Higher geometry in physics

High Energy Physics - Theory 2023-12-22 v2 Mathematical Physics Algebraic Topology math.MP

Abstract

This survey article is an invited contribution to the Encyclopedia of Mathematical Physics, 2nd edition. We provide an accessible overview on relevant applications of higher and derived geometry to theoretical physics, including higher gauge theory, higher geometric quantization and Batalin-Vilkovisky formalism.

Keywords

Cite

@article{arxiv.2312.07308,
  title  = {Higher geometry in physics},
  author = {Luigi Alfonsi},
  journal= {arXiv preprint arXiv:2312.07308},
  year   = {2023}
}

Comments

32 pages, 4 figures, 3 tables. Article prepared for the Encyclopedia of Mathematical Physics, 2nd edition. v2: references added

R2 v1 2026-06-28T13:48:27.066Z