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Theses - Dept. of Mathematics
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(Massachusetts Institute of Technology, 2012)The purpose of this work is give some field notes on exploring the idea that a generalized Tate construction tk reduces chromatic level in stable homotopy theory. The first parts introduce the construction and discuss ...
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(Massachusetts Institute of Technology, 2012)In this thesis, we study the problem of asymptotic spectral flow for a family of coupled Dirac operators. We prove that the leading order term in the spectral flow on an n dimensional manifold is of order r n+1/2 followed ...
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(Massachusetts Institute of Technology, 1973)
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(Massachusetts Institute of Technology, 1988)
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(Massachusetts Institute of Technology, 1986)
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