Combinatorial Proofs of the Conley-Zehnd
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S. Alpern; V.S. Prasad
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Article
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1993
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Elsevier Science
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English
β 428 KB
We give two combinatorial proofs of Franks' Theorem, that an area preserving torus homeomorphism with mean rotation zero has a fixed point. The first proof uses Lax's version of the Marriage Theorem. The second proof uses Euler's Theorem on circuits in graphs and an explicit method of Alpern for dec