Intersections of curves on surfaces and their applications to mapping class groups
classification
🧮 math.GT
math.AT
keywords
applicationsintersectionsclassconstraintcriterioncurvesdehnderive
read the original abstract
We introduce an operation that measures the self intersections of paths on a surface. As applications, we give a criterion of the realizability of a generalized Dehn twist, and derive a geometric constraint on the image of the Johnson homomorphism.
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