Volume 26, issue 2 (2022)

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From flops to diffeomorphism groups

Gleb Smirnov

Geometry & Topology 26 (2022) 875–898
Abstract

We exhibit many examples of closed complex surfaces whose diffeomorphism groups are not simply connected and which contain loops that are not homotopic to loops of symplectomorphisms.

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Keywords
diffeomorphism groups, Seiberg–Witten invariants, flop
Mathematical Subject Classification
Primary: 14J80, 32J15, 32Q65, 57K43, 58D05
References
Publication
Received: 7 June 2020
Revised: 23 August 2020
Accepted: 10 February 2021
Published: 15 June 2022
Proposed: Yasha Eliashberg
Seconded: Ciprian Manolescu, Leonid Polterovich
Authors
Gleb Smirnov
Department of Mathematics
ETH Zürich
Zürich
Switzerland