Geometry & Topology
- Geom. Topol.
- Volume 16, Number 3 (2012), 1481-1607.
Given an –manifold and an –category , we define a chain complex (the “blob complex”) . The blob complex can be thought of as a derived category analogue of the Hilbert space of a TQFT, and also as a generalization of Hochschild homology to –categories and –manifolds. It enjoys a number of nice formal properties, including a higher dimensional generalization of Deligne’s conjecture about the action of the little disks operad on Hochschild cochains. Along the way, we give a definition of a weak –category with strong duality which is particularly well suited for work with TQFTs. This is the published version of [arXiv 1009.5025].
Geom. Topol., Volume 16, Number 3 (2012), 1481-1607.
Received: 19 October 2010
Revised: 19 December 2011
Accepted: 25 April 2012
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R56: Topological quantum field theories
Morrison, Scott; Walker, Kevin. Blob homology. Geom. Topol. 16 (2012), no. 3, 1481--1607. doi:10.2140/gt.2012.16.1481. https://projecteuclid.org/euclid.gt/1513732443