A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers
From MaRDI portal
Publication:1192287
DOI10.1016/0166-8641(92)90153-QzbMath0748.57004MaRDI QIDQ1192287
Publication date: 27 September 1992
Published in: Topology and its Applications (Search for Journal in Brave)
crossed homomorphismswinding numberslinear representation of the mapping class group of an orientable surface with one boundary componentnonvanishing vector fields
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (8)
Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces ⋮ On crossed homomorphisms on symplectic mapping class groups ⋮ The second rational homology group of the moduli space of curves with level structures ⋮ SIMPLY INTERSECTING PAIR MAPS IN THE MAPPING CLASS GROUP ⋮ A combinatorial formula for Earle's twisted 1-cocycle on the mapping class group ⋮ Open book foliation ⋮ Connected components of strata of abelian differentials over Teichmüller space ⋮ Generalized Long-Moody functors
Cites Work
- A simple presentation for the mapping class group of an orientable surface
- The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
- Family of Jacobian manifolds and characteristic classes of surface bundles. II
- Roots of the canonical bundle of the universal Teichmüller curve and certain subgroups of the mapping class group
- An abelian quotient of the mapping class group \(\mathfrak S\)
- Winding numbers on surfaces. I
- Winding numbers on surfaces. II: Applications
- Some Finite Quotients of the Mapping Class Group of a Surface
- Matrix Representations of Artin Groups
- Homeomorphisms of a Surface which Act Trivially on Homology
This page was built for publication: A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers
