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Browsing Theses - Dept. of Mathematics by Title
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(Massachusetts Institute of Technology, 2005)We study the tautological classes of the Kontsevich-Manin moduli spaces of genus 0 stable maps to SL flag varieties. We prove that the rational cohomology and rational Chow rings of these spaces are isomorphic and that ...
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2009)Given a function f on n inputs, we consider the problem of testing whether f belongs to a concept class C, or is far from every member of C. An algorithm that achieves this goal for a particular C is called a property ...
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(Massachusetts Institute of Technology, 2010)Abstract In polynomial regression ... . In this thesis, I developed a residual based test, the turning point test for residuals, which tests the hypothesis that the kth order polynomial regression holds with ... while the ...
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(Massachusetts Institute of Technology, 1981)
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1984)
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(Massachusetts Institute of Technology, 2012)The derived category of a hypersurface has an action by "cohomology operations" k[[beta]], deg[beta] = 2, underlying the 2-periodic structure on its category of singularities (as matrix factorizations). We prove a ...
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(Massachusetts Institute of Technology, 2006)This thesis studies surfaces which minimize area, subject to a fixed boundary and to a free boundary with length constraint. Based on physical experiments, I make two conjectures. First, I conjecture that minimizers supported ...
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(Massachusetts Institute of Technology, 1952)
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(Massachusetts Institute of Technology, 2006)Fully localized three-dimensional solitary waves, commonly referred to as 'lumps', have received far less attention than two-dimensional solitary waves in dispersive wave systems. Prior studies have focused in the long-wave ...
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(Massachusetts Institute of Technology, 2004)In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight ...
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(Massachusetts Institute of Technology, 1980)
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(Massachusetts Institute of Technology, 2006)Let G be a group and A be a ring. There is a stable equivalence of orthogonal spectra ... between the topological Hochschild homology of the group algebra A[G] and the smash product of the topological Hochschild homology ...
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 1981)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2009)This thesis primarily consists of results which can be used to simplify the computation of the equivariant cohomology of a GKM space. In particular we investigate the role that equivariant maps play in the computation of ...
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(Massachusetts Institute of Technology, 1994)
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