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Abstract
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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
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Mathematical Subject Classification
Primary: 14J80, 32J15, 32Q65, 57K43, 58D05
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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
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