Some homological invariants of mapping class group of a 3-dimensional handlebody
classification
🧮 math.GT
math.GR
keywords
equalclassdimensionalgrouphandlebodymappingcohomologicaldimension
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We show that, if g is more than or equal to 2, the virtual cohomological dimension of the mapping class group of a 3-dimensional handlebody of genus g is equal to 4g-5 and the Euler number of it is equal to 0.
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