Work

Mapping class groups have a unique Polish group structure

Year: 2026

Type: preprint

Abstract: We prove that mapping class groups of surfaces and of locally finite connected graphs support a unique Polish group structure.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.27218

Authors: Ghaswala, Tyrone, Iyer, Sumun, Lyman, Robert Alonzo, Vlamis, Nicholas G.

Institution: University of Waterloo

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, City University of New York, Natural Sciences and Engineering Research Council of Canada

Awards: LEAPS-MPS: Topological Symmetries of Non-Compact Riemann Surfaces, Postdoctoral Fellowship: MSPRF: Dynamics of Large Topological Groups

OpenAlex ID: W7204581418

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