Go to  Advanced Search

Fusion algebras and cohomology of toroidal orbifolds

Show full item record

Files in this item

Files Size Format Description   View
ubc_2010_spring_duman_ali_nabi.pdf 354.9Kb Adobe Portable Document Format   View/Open
 
Title: Fusion algebras and cohomology of toroidal orbifolds
Author: Duman, Ali Nabi
Degree Doctor of Philosophy - PhD
Program Mathematics
Copyright Date: 2010
Publicly Available in cIRcle 2010-04-14
Abstract: In this thesis we exhibit an explicit non-trivial example of the twisted fusion algebra for a particular finite group. The product is defined for the third power of modulo two group via the pairing of projective representations where the three cocycles are chosen using the inverse transgression map. We find the rank of the fusion algebra as well as the relation between its basis elements. We also give some applications to topological gauge theories. We next show that the twisted fusion algebra of the third power of modulo p group is isomorphic to the non-twisted fusion algebra of the extraspecial p-group of order p³ and exponent p. The final point of my thesis is to explicitly compute the cohomology groups of toroidal orbifolds which are the quotient spaces obtained by the action of modulo p group on the k-dimensional torus. We compute the particular case where the action is induced by the n-th power of augmentation ideal.
URI: http://hdl.handle.net/2429/23510
Scholarly Level: Graduate

This item appears in the following Collection(s)

Show full item record

All items in cIRcle are protected by copyright, with all rights reserved.

UBC Library
1961 East Mall
Vancouver, B.C.
Canada V6T 1Z1
Tel: 604-822-6375
Fax: 604-822-3893