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Physical Sciences and Mathematics

Eastern Illinois University

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Periodic orbits

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Simple Braids For Surface Homeomorphisms, Kamlesh Parwani Dec 2006

Simple Braids For Surface Homeomorphisms, Kamlesh Parwani

Faculty Research and Creative Activity

Let S be a compact, oriented surface with negative Euler characteristic and f:S→S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a non-zero rotation vector (p→,q), then there exists a simple braid with the same rotation vector.


Simple Braids For Surface Homeomorphisms, Kamlesh Parwani Dec 2006

Simple Braids For Surface Homeomorphisms, Kamlesh Parwani

Faculty Research and Creative Activity

Let S be a compact, oriented surface with negative Euler characteristic and f:S→S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a non-zero rotation vector (p→,q), then there exists a simple braid with the same rotation vector.