Mapping Class Groups
Surface diffeomorphisms, Teichmüller theory, and Nielsen–Thurston classification.
Mapping Class Groups. Surface diffeomorphisms, Teichmüller theory, and Nielsen–Thurston classification.
Foundations and canonical references
The standard treatments of mapping class groups approach the subject from complementary angles. Farb, A Primer on Mapping Class Groups (2012) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for mapping class groups include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2012A Primer on Mapping Class Groupsfarb-2012, margalit-2012
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