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Oriented One-Dimensional Supersymmetric Euclidean Field Theories and K-Theory

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posted on 2016-08-16, 00:00 authored by Peter Ulrickson
This dissertation defines a simplicial set 1|1−EFT of certain functorial quantum field theories and determines that it has the homotopy type of a representing space for K-theory. There have been other spaces of 1-dimensional supersymmetric Euclidean field theories related to the K-theory spectrum; novel aspects of the approach in this dissertation are the use of non-projective modules in the algebraic codomain of the functors defining 1|1−EFT and the use of an oriented bordism category whose space of connected endomorphisms of the super-point is connected.

History

Date Modified

2017-06-02

Defense Date

2016-08-10

Research Director(s)

Stephan Stolz

Degree

  • Doctor of Philosophy

Degree Level

  • Doctoral Dissertation

Program Name

  • Mathematics

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