Search for dissertations about: "homotopy Lie algebras"
Showing result 1 - 5 of 7 swedish dissertations containing the words homotopy Lie algebras.
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1. Graded lie algebras in local algebra and rational homotopy
Abstract : This thesis consists of three papers, [A – C]The old conjecture that Poincaré-series of local noetherian rings are rational was disproved by Anick in 1979. Building upon his counter-example, as analyzed by Löfwall-Roos, I construct a Gorenstein ring with transcendental Poincaré-series; by a method of Roos this also gives a manifold whose loopspace has transcendental Poinaré-Betti series. READ MORE
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2. Poincaré series and homotopy Lie algebras of monomial rings
Abstract : .... READ MORE
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3. Bosonic string field theory : operator formulation and string field functional formulation
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4. Wheeled Operads in Algebra, Geometry, and Quantization
Abstract : The theory of generalized operads, the foundational conceptual framework of this thesis, has become a universal language, relating various areas such as algebraic topology, derived categories of algebras, deformation theory, differential geometry and the mathematical theory of quantization.The thesis consists of a preliminary chapter followed by four main chapters. READ MORE
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5. Configuration spaces, props and wheel-free deformation quantization
Abstract : The main theme of this thesis is higher algebraic structures that come from operads and props.The first chapter is an introduction to the mathematical framework needed for the content of this thesis. The chapter does not contain any new results. READ MORE