Goldman flows on a nonorientable surface
نویسندگان
چکیده
منابع مشابه
Goldman Flows on a Nonorientable Surface
Given an embedded cylinder in an arbitrary surface, we give a gauge theoretic definition of the associated Goldman flow, which is a circle action on a dense open subset of the moduli space of equivalence classes of flat SU(2)-connections over the surface. A cylinder in a compact nonorientable surface lifts to two cylinders in the orientable double cover, and the composite flow is the compositio...
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Let Σ be a connected closed oriented surface of genus g. In 1986 Goldman [Go] attached to Σ a Lie algebra L = L(Σ), later shown by Turaev ([Tu]) to have a natural structure of a Lie bialgebra. It is defined as follows. As a vector space, L has a basis eγ labeled by conjugacy classes γ in the fundamental group π1(Σ), geometrically represented by closed oriented curves on Σ without a base point. ...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2008
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-008-9267-8