Structure and topological generation of big mapping class groups

Date

2026-1-14

Author

Bellek, Celal Can

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Big mapping class groups are the mapping class groups of infinite-type surfaces, that is, surfaces whose fundamental groups are not finitely generated. While mapping class groups of finite-type surfaces have been extensively studied, the theory of big mapping class groups is a recent and rapidly developing area of research. This thesis provides a systematic introduction to the structure and topological generation of big mapping class groups, emphasizing the key differences from the classical finite-type case. It presents a clear exposition of foundational results concerning their topological and algebraic structure, including known results on finite topological generation for a certain family of infinite-type surfaces.

Subject Keywords

Infinite-type surfaces, Topological generation, Mapping class groups, Geometric topology

URI

https://hdl.handle.net/11511/118362

Collections

Graduate School of Natural and Applied Sciences, Thesis