Washington University in St. Louis
On the (Co)Homology of Non-Commutative Toroidal Orbifold
Abstract
dc:description.abstract<p>Noncommutative torus algebra was studied in the early 80's as a fundamental example of noncommutative geometry. Connes calculated its cyclic and Hochschild cohomology. In this thesis, we study noncommutative toroidal orbifolds generated by actions of finite subgroups of <em>S L</em>(2,) on a noncommutative torus algebra.</p> <p>In the first part, we calculate the Hochschild and cyclic homology of Γ for all finite subgroups Γ <em>S</em> L(2,). In the second part we analyse the cohomology of these algebras and compute the Chern-Connes pairing between the elements of <strong> </strong> and explicit cocycles discovered in our calculations. In the third part we discuss some partial results and conjectures about the corresponding smooth orbifolds.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2013
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Quddus, Safdar
- Contributors dc:contributor
-
- Xiang Tang
Subjects
dc:subject × 1Rights
- Language dc:language
- English (en)
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:openscholarship.wustl.edu:etd-2093