Some speculations on pairs-of-pants decompositions and Fukaya categories
نویسندگان
چکیده
منابع مشابه
Fukaya categories and deformations
Soon after their first appearance [7], Fukaya categories were brought to the attention of a wider audience through the homological mirror conjecture [14]. Since then Fukaya and his collaborators have undertaken the vast project of laying down the foundations, and as a result a fully general definition is available [9, 6]. The task that symplectic geometers are now facing is to make these catego...
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In studying the geometry and topology of surfaces it often happens that one considers a collection of disjointly embedded circles in a compact orientable surface Σ which decompose Σ into pairs of pants — surfaces of genus zero with three boundary circles. If Σ is not itself a pair of pants, then there are infinitely many different isotopy classes of pants decompositions of Σ. It was observed in...
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The problem of determining whether or not a nonelementary subgroup of PSL(2,C) is discrete is a long standing one. The importance of two generator subgroups comes from Jørgensen’s inequality which has as a corollary the fact that a nonelementary subgroup of PSL(2,C) is discrete if and only if every non-elementary two generator subgroup is. A solution even in the two-generator PSL(2,R) case appe...
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ژورنال
عنوان ژورنال: Surveys in Differential Geometry
سال: 2012
ISSN: 1052-9233,2164-4713
DOI: 10.4310/sdg.2012.v17.n1.a9