arXiv Analytics

Sign in

arXiv:math/0306190 [math.GT]AbstractReferencesReviewsResources

Cell decomposition and compactification of Riemann's moduli space in decorated Teichmüller theory

R. C. Penner

Published 2003-06-11, updated 2003-06-13Version 2

This survey covers earlier work of the author as well as recent work on Riemann's moduli space, its canonical cell decomposition and compactification, and the related operadic structure of arc complexes.

Comments: 36 pages, 13 figures
Categories: math.GT, math.DG
Subjects: 32G15, 30F60, 14H15
Related articles: Most relevant | Search more
arXiv:math/0210326 [math.GT] (Published 2002-10-21, updated 2003-03-26)
Decorated Teichmüller Theory of Bordered Surfaces
arXiv:math/0410603 [math.GT] (Published 2004-10-28, updated 2006-05-02)
The Structure and Singularities of Arc Complexes
arXiv:2310.01322 [math.GT] (Published 2023-10-02)
A combinatorial model for the moduli of bordered Riemann surfaces and a compactification

Links

Toolbox