Browse Dissertations and Theses - Mathematics by Subject "Algebraic topology"

  • Lipsky, David (2010-08-20)
    In this thesis, we explore a chain-level construction in smooth Deligne cohomology that produces data for extended topological field theories. For closed oriented manifolds $\Sigma$, this construction takes the form of a ...

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  • Tebbe, Amelia Nora (2017-07-11)
    A functor from finite sets to chain complexes is called atomic if it is completely determined by its value on a particular set. We present a new resolution for these atomic functors, which allows us to easily compute their ...

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  • Villeta-Garcia, Juan S (2017-07-13)
    We define and study the $K$-theory of exact categories with coefficients in endofunctors of spectra in analogy with Mitchell's homology of categories. Generalizing computations of McCarthy, we determine, for a discrete ...

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