Factorization algebra

K Costello, O Gwilliam - arXiv preprint arXiv:2310.06137, 2023 - arxiv.org
Factorization algebras are local-to-global objects living on manifolds, and they arise
naturally in mathematics and physics. Their local structure encompasses examples like …

Notes on Factorization Algebras and TQFTs

A Amabel - arXiv preprint arXiv:2307.01306, 2023 - arxiv.org
These are notes from talks given at a spring school on topological quantum field theory in
Nova Scotia during May of 2023. The aim is to introduce the reader to the role of …

Not too little intervals for quantum mechanics

D Calaque - Portugaliae Mathematica, 2024 - ems.press
This short paper illustrates the general framework introduced in the paper “Not too little
discs”, joint with Victor Carmona, on yet another one dimensional example. It exhibits a …

Global Structure in the Presence of a Topological Defect

A Debray, W Ye, M Yu - arXiv preprint arXiv:2501.18399, 2025 - arxiv.org
We investigate the global structure of topological defects which wrap a submanifold $
F\subset M $ in a quantum field theory defined on a closed manifold $ M $. The Pontryagin …

Towards Linked Topology

Ö Tetik - 2024 - zora.uzh.ch
We introduce the notions of linked space, linked quasi-category and linked manifold, which
are certain spans of the ordinary versions of the respective objects, and which model …

[PDF][PDF] Towards Linked Topology

Ö Tetik, AS Cattaneo, J Ayoub, T Willwacher - o-tetik.github.io
We introduce the notions of linked space, linked quasi-category and linked manifold, which
are certain spans of the ordinary versions of the respective objects, and which model …