WoG 2024 Talk 3.4: Ajay Nair - The Goldman bracket characterises the homeomorphisms between non-com…

Описание к видео WoG 2024 Talk 3.4: Ajay Nair - The Goldman bracket characterises the homeomorphisms between non-com…

Speaker: Ajay Nair
Institution: IISc, Bengaluru
Website: https://ajay-k-nair.github.io/

Title: The Goldman bracket characterises the homeomorphisms between non-compact surfaces
Abstract: The automorphisms of the fundamental groups of surfaces are always induced by homotopy equivalences. For non-compact surfaces, we prove that these homotopy equivalences are homotopic to a homeomorphism if and only if they preserve the Goldman bracket. This result is based on joint work with Siddhartha Gadgil and Sumanta Das.

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