Factorization homology of topological manifolds

DOI10.1112/jtopol/jtv028zbMath1350.55009arXiv1206.5522OpenAlexW3098640561MaRDI QIDQ3462029

John Francis, David Ayala

Publication date: 4 January 2016

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5522

zbMATH Keywords

factorization homologyaxiomatic homologynon-abelian Poincaré duality

Mathematics Subject Classification ID

Related Items (65)

Quantum character varieties and braided module categories ⋮ Factorization homology and 4D TQFT ⋮ The diffeomorphism group of the solid closed torus and Hochschild homology ⋮ Categorification of algebraic quantum field theories ⋮ Fibrations of $\infty$-categories ⋮ Factorization homology. I: Higher categories ⋮ A remark on extremal stability of configuration spaces ⋮ The factorization theory of Thom spectra and twisted nonabelian Poincaré duality ⋮ BV quantization of the Rozansky-Witten model ⋮ Betti numbers and stability for configuration spaces via factorization homology ⋮ Free factorization algebras and homology of configuration spaces in algebraic geometry ⋮ Eisenstein series via factorization homology of Hecke categories ⋮ Skein lasagna modules and handle decompositions ⋮ Thurston’s fragmentation and c-principles ⋮ Perverse sheaves on Riemann surfaces as Milnor sheaves ⋮ Higher Structures in Algebraic Quantum Field Theory ⋮ Goodwillie's cosimplicial model for the space of long knots and its applications ⋮ Defects via factorization algebras ⋮ Chiral Koszul duality ⋮ A model for configuration spaces of points ⋮ A Künneth theorem for configuration spaces ⋮ Unnamed Item ⋮ Excision of skein categories and factorisation homology ⋮ Quantization of algebraic invariants through Topological Quantum Field Theories ⋮ Strictification theorems for the homotopy time-slice axiom ⋮ Extremal stability for configuration spaces ⋮ The finiteness conjecture for skein modules ⋮ What is an equivalence in a higher category? ⋮ Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting) ⋮ Koszul duality in quantum field theory ⋮ A geometric approach to equivariant factorization homology and nonabelian Poincaré duality ⋮ New model category structures for algebraic quantum field theory ⋮ Some Technical Aspects of Factorization Algebras on Manifolds ⋮ Higher Hochschild homology, topological chiral homology and factorization algebras ⋮ Differential calculus of Hochschild pairs for infinity-categories ⋮ Poincaré/Koszul duality ⋮ Operads for algebraic quantum field theory ⋮ Higher Hochschild homology is not a stable invariant ⋮ On quantum obstruction spaces and higher codimension gauge theories ⋮ A stratified homotopy hypothesis ⋮ The Lambrechts-Stanley model of configuration spaces ⋮ Invertible braided tensor categories ⋮ Configuration spaces of products ⋮ Factorization homology of stratified spaces ⋮ Symplectic homology and the Eilenberg-Steenrod axioms ⋮ \(E_n\)-cell attachments and a local-to-global principle for homological stability ⋮ Weyl \(n\)-algebras ⋮ Higher enveloping algebras ⋮ Homotopy theory of algebraic quantum field theories ⋮ The Dold-Thom theorem via factorization homology ⋮ Homological stability for topological chiral homology of completions ⋮ Kauffman skein algebras and quantum Teichmüller spaces via factorization homology ⋮ Secondary products in supersymmetric field theory ⋮ Equivariant factorization homology of global quotient orbifolds ⋮ A topological origin of quantum symmetric pairs ⋮ ZERO-POINTED MANIFOLDS ⋮ Subdivisional spaces and graph braid groups ⋮ On -local ⋮ Curved Koszul duality of algebras over unital versions of binary operads ⋮ The intrinsic formality of \(E_n\)-operads ⋮ Topological twists of supersymmetric algebras of observables ⋮ Heisenberg-picture quantum field theory ⋮ Redshift and multiplication for truncated Brown-Peterson spectra ⋮ On dualizability of braided tensor categories ⋮ Gel′fand-Fuchs cohomology in algebraic geometry and factorization algebras

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