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A factorization homology primer
- Introduction
- Manifolds with tangential structure
- Manifolds and embeddings
- Sheaves on n-manifolds
- Tangent classifier
- B-framed manifolds
- Examples and discussion of B-framings
- Weiss sheaves on n-manifolds
- Disks
- Manifolds with boundary
- Localizing with respect to isotopy equivalences
- Homology theories for manifolds
- Disk algebras
- Factorization algebras
- Factorization homology over oriented 1-manifolds with boundary
- Homology theories: definition
- Pushforward
- Homology theories: characterization
- Nonabelian Poincaré duality
- Calculations
- Factorization homology for direct sum
- Factorization homology with coefficients in commutative algebras
- Factorization homology from Lie algebras
- Factorization homology of free D i s k n B -algebras
- Filtrations
- Poincaré/Koszul duality
- Factorization homology for singular manifolds
- Bibliography
Abstract
This article is an introduction to factorization homology—or factorization algebras—in the topological setting; see also Lurie [43]. For introductions in the closely related algebro-geometric or Riemannian settings, see Beilinson–Drinfeld [9], Francis–Gaitsgory [22], and Costello–Gwilliam [17].
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