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Blob homology

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dc.contributor.authorMorrison, Scott
dc.contributor.authorWalker, Kevin
dc.date.accessioned2015-12-07T22:49:22Z
dc.date.issued2012
dc.date.updated2015-12-07T12:08:04Z
dc.description.abstractGiven 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 definition of a weak n-category with strong duality which is particularly well suited for work with TQFTs. This is the published version of arXiv:1009.5025.
dc.identifier.issn1364-0380
dc.identifier.urihttp://hdl.handle.net/1885/26725
dc.publisherUniversity of Warwick
dc.sourceGeometry and Topology
dc.titleBlob homology
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage1607
local.bibliographicCitation.startpage1481
local.contributor.affiliationMorrison, Scott, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationWalker, Kevin, Microsoft Station Q
local.contributor.authoruidMorrison, Scott, u5228111
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010112 - Topology
local.identifier.absfor010103 - Category Theory, K Theory, Homological Algebra
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu4743872xPUB46
local.identifier.citationvolume16
local.identifier.doi10.2140/gt.2012.16.1481
local.identifier.scopusID2-s2.0-84865096665
local.identifier.thomsonID000308350200007
local.type.statusPublished Version

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