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Frobenius structures on orbit spaces of Coxeter groups and Hurwitz spaces

Posted on:2009-10-04Degree:M.ScType:Thesis
University:Concordia University (Canada)Candidate:Ishii, MaikoFull Text:PDF
GTID:2440390002493106Subject:Mathematics
Abstract/Summary:
Here we describe the Frobenius Manifold as a geometric reformulation of the solution space to the WDVV equations. Relations between Frobenius Algebras, Frobenius Manifolds and 2D-Topological Field Theories are shown, and we examine the An case from the class of polynomial solutions to WDVV as Topological Landau-Ginzburg Models. The An case is also described from the point of view of singularity theory from which it originated, and we show Dubrovin's constructions for Frobenius manifolds on the orbit spaces of Coxeter groups and Hurwitz spaces with the An case as the main example.
Keywords/Search Tags:Frobenius, Spaces
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