RECURSIVELY GENERATING FORMALITY QUASI-ISOMORPHISMS WITH APPLICATIONS TO DEFORMATION QUANTIZATION

Formality quasi-isomorphisms Cobar(C) -> O are a necessary component of the machinery used in deformation quantization to produce quantized algebras of observables, however they are often constructed via transcendental methods, resulting in computational difficulties and quasi-isomorphisms defined over extensions of Q We will show that these formality quasi-isomorphisms can be "demystified" for a large class of dg-operads, by showing that they can be constructed recursively via an algorithm that builds them from systems of linear equations over Q, given certain assumptions on H(O).

Grantor dc:publisher

Temple University. Libraries

Year dc:date.issued

2017

Author dc:creator

• Schneider, Geoffrey Ernest

Advisor dc:contributor.advisor

• Dolgushev, Vasily

Committee members dc:contributor.committeemember

• Walton, Chelsea
• Stover, Matthew
• Pantev, Tony, 1963-
• Dolgushev, Vasily

• Mathematics
• Deformation
• Formality
• Quantization

Statement dc:rights

• IN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/20.500.12613/2326

OAI identifier oai:identifier

oai:scholarshare.temple.edu:20.500.12613/2326