Mapping class group of a handlebody

• Autorzy: Bronisław Wajnryb
• Języki publikacji: EN

Abstrakty

EN

Let B be a 3-dimensional handlebody of genus g. Let ℳ be the group of the isotopy classes of orientation preserving homeomorphisms of B. We construct a 2-dimensional simplicial complex X, connected and simply-connected, on which ℳ acts by simplicial transformations and has only a finite number of orbits. From this action we derive an explicit finite presentation of ℳ.

Kategorie tematyczne

• 20F05: Generators, relations, and presentations
• 57M60: Group actions in low dimensions
• 57M05: Fundamental group, presentations, free differential calculus
• 20F38: Other groups related to topology or analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 158
• Numer: 3
• Strony: 195-228

Daty

wydano

1998

otrzymano

1997-09-02

poprawiono

1998-01-05

poprawiono

1998-06-22

Twórcy

autor

Bronisław Wajnryb

• Department of Mathematics, Technion 32000, Haifa, Israel

Bibliografia

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