Curve complexes of nonorientable surfaces - Atalan Ozan, Ferihe
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Surfaces and their mapping class groups are central objects in geometry and low dimensional topology. Their theory is closely related to the theory of Riemann surfaces, Teichmüller theory, topology and geometry of three and four dimensional smooth manifolds, symplectic manifolds and knot theory. Mapping class groups provide powerful tools in most of these theories. There are several ways of investigating algebraic and geometric properties of mapping class groups. The complexes of curves on surfaces proved very useful in the study of mapping class groups since their introduction by Harvey in…mehr

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Produktbeschreibung
Surfaces and their mapping class groups are central objects in geometry and low dimensional topology. Their theory is closely related to the theory of Riemann surfaces, Teichmüller theory, topology and geometry of three and four dimensional smooth manifolds, symplectic manifolds and knot theory. Mapping class groups provide powerful tools in most of these theories. There are several ways of investigating algebraic and geometric properties of mapping class groups. The complexes of curves on surfaces proved very useful in the study of mapping class groups since their introduction by Harvey in 1979. Ivanov, Korkmaz and Luo proved that any automorphism of the complex of curves of an orientable surface is induced by a homeomorphism of the surface. In this book, which is the authors Ph. D. thesis, the author proves the analogous result for nonorientable surfaces of odd genus.
Autorenporträt
The Author obtained her Ph.D. degree at the Middle East Technical University in 2005 under the supervision Prof. Mustafa Korkmaz. Currently, she is an assistant professor of Mathematics at Atilim University in Ankara, Turkey. Her research interest is low-dimensional topology, especially, mapping class groups and the complexes of curves on surfaces.