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Blob homology

Morrison, Scott; Walker, Kevin

Description

Given an n-manifold M and an n-category C, we define a chain complex (the "blob complex") B*(M;C). 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 n-categories and n-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...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/26725
Source: Geometry and Topology
DOI: 10.2140/gt.2012.16.1481

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