Excision of skein categories and factorisation homology

DOI10.1016/j.aim.2022.108848OpenAlexW2977574171MaRDI QIDQ2685671

Juliet Cooke

Publication date: 22 February 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02630

zbMATH Keywords

category theoryquantum invariantsskein algebrafactorization homology

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Axioms for homology theory and uniqueness theorems in algebraic topology (55N40) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items

The 𝔤𝔩2-skein module of lens spaces via the torus and solid torus, Mapping class group representations derived from stated skein algebras, Finite presentations for stated skein algebras and lattice gauge field theory, Triangular decomposition of \(\mathrm{SL}_3\) skein algebras, The finiteness conjecture for skein modules

Cites Work

• Tensor products of finitely cocomplete and abelian categories
• The symplectic nature of fundamental groups of surfaces
• Ribbon graphs and their invariants derived from quantum groups
• Heisenberg-picture quantum field theory
• Skein theory for \(SU(n)\)-quantum invariants
• Factorization homology of topological manifolds
• Skein quantization of Poisson algebras of loops on surfaces
• The Yang-Mills equations over Riemann surfaces
• Tensor Categories
• Notes on Factorization Algebras, Factorization Homology and Applications
• Quantum invariants of knots and 3-manifolds
• A duality for modules over monoidal categories of representations of semisimple Hopf algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item