Search for dissertations about: "Koszul duality"
Found 5 swedish dissertations containing the words Koszul duality.
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1. Free loop spaces, Koszul duality and A-infinity algebras
Abstract : This thesis consists of four papers on the topics of free loop spaces, Koszul duality and A∞-algebras. In Paper I we consider a definition of differential operators for noncommutative algebras. This definition is inspired by the connections between differential operators of commutative algebras, L∞-algebras and BV-algebras. READ MORE
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2. Koszul duality for categories and a relative Sullivan-Wilkerson theorem
Abstract : This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an analogue of the Sullivan-Wilkerson theorem for relative CW-complexes.In Paper I, we define a general notion of Koszul dual in the context of a monoidal biclosed model category. READ MORE
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3. Prop profiles of compatible Poisson and Nijenhuis structures
Abstract : A prop profile of a differential geometric structure is a minimal resolution of an algebraic prop such that representations of this resolution are in one-to-one correspondence with structures of the given type. We begin this thesis with a detailed account of the algebraic tools necessary to construct prop profiles; we treat operads and props, and resolutions of these through Koszul duality. READ MORE
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4. Homotopy automorphisms, graph complexes, and modular operads
Abstract : This licentiate thesis consists of two papers.In Paper I we identify the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of S^k × S^l, where 3 ≤ k < l ≤ 2k − 2. We express the result in terms of Lie graph complex homology. READ MORE
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5. Residue Currents and their Annihilator Ideals
Abstract : This thesis presents results in multidimensional residue theory. From a generically exact complex of locally free analytic sheaves $\mathcal C$ we construct a vector valued residue current $R^\mathcal C$, which in a sense measures the exactness of $\mathcal C$. READ MORE
