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The Hopf Conjecture with abelian symmetries
Chan, Jacqueline
Chan, Jacqueline
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2021-05
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Abstract
The Hopf Conjecture states that for closed, orietable, even-dimensional manifolds,
the Euler characteristic is strictly positive. Results due independently to
P uttmann and Searle [13] and Rong [14], and due to Rong and Su [15], showing that
the Hopf Conjecture holds under the additional hypothesis of abelian symmetries.
In this thesis we detail the proofs of these two results. For the rst result, we provide
the details of the original proof, whereas for the second, we give a more streamlined
proof that relies of the Borel formula.
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Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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Wichita State University
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© Copyright 2021 by Jacqueline Chan
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