We calculate the virtually cyclic dimension of the mapping class group of a sphere with at most six punctures. As an immediate consequence, we obtain the virtually cyclic dimension of the mapping class group of the twice-holed torus and of the closed genus-two surface. For spheres with an ...
That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping...
We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set. We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in ...
The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere 喜欢 0 阅读量: 8 作者:Department,of,Mathematics,&,Statistics,University,of,Glasgow,Glasgow,G12 关键词:Geometry and Topology Analysis ...
1.4 Mapping class group dynamics A powerful tool to investigate the holonomy problem is the mapping class group action on the associated character variety. The latter parametrises the set of all representations of the fundamental group of a compact surface into the affine group [Math Processing Erro...
Big Heegaard Distance Implies Finite Mapping Class Group Hossein Namazi 1 Princeton University, Fine Hall, Washington RD, Princeton, NJ 08544-1000 Abstract We show that if M is a closed three manifold with a Heegaard splitting with suf- ficiently big Heegaard distance then the subgroup of the...
This defines a congruence, thus yielding the fake motion groupoid [Math Processing Error]. A functor [Math Processing Error] is given by sending [Math Processing Error] to the class of the map [Math Processing Error], where [Math Processing Error]. The engines [Math Processing Error], [...
public final class MappingType extends ExpandableStringEnum<MappingType>Type of the CDC attribute mapping. Note: 'Advanced' mapping type is also saved as 'Derived'.Field Summary Proširi tablicu Modifier and TypeField and Description static final MappingType AGGREGATE Static value Aggregate for...
Abelian and solvable subgroups of the mapping class groups The main result of the paper is the following theorem: every solvable subgroup of the mapping class group of an orientable surface contains an abelian subgroup of finite index. This result is complemented by bounds on the rank and the ...
public DataMapperMapping() Creates an instance of DataMapperMapping class.Method Details attributeMappingInfo public MapperAttributeMappings attributeMappingInfo() Get the attributeMappingInfo property: This holds the user provided attribute mapping information. Returns: the attributeMappingInfo value.from...