Garity, Dennis J.; matematični kolokvij februar 2004

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Geodesics with small intersection number on punctured tori

Dennis J. Garity

Oregon State University

19. februar 2004

In certain cases classifying geodesics on a punctured torus with a specific intersection number gives information of interest to number theorists. Curves with two and three intersections on the torus have been classified. Each geodesic on a puntured tori corresponds to a word in the free group with two generators, F2. The classification of geodesics as above is related to the automorphism class of words in F2. Aspects of the classification and the relation to words in F2 will be discussed.

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