On THH and TAQ of Commutative S-Algebras

Also, using functional equations, we define functors that generalize standard examples from calculus of one variable. Examples of such functors are discussed and their Taylor towers are computed. We also show that these functors factor through objects enriched over the homology of little n-cubes operads and discuss the relationship between functors defined via functional equations and operads. In addition, we compute the differentials of the forgetful functor from the category of n-Poisson algebras in terms of the homology of configuration spaces.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Minasian, Vahagn

Contributors dc:contributor

• McCarthy, Randy

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3101924

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86820