Infinitely many non‐isotopic real symplectic forms on S2×S2
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Date
2021-03
Publication Type
Journal Article
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yes
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Abstract
Let (S2,w) be a symplectic sphere, and let 𝜏:S2→S2 be an anti‐symplectic involution of (S2,w). We consider the product (S2,w)×(S2,w) endowed with the anti‐symplectic involution 𝜏x𝜏, and study the space of monotone anti‐invariant symplectic forms on this four‐manifold. We show that this space is disconnected. In addition, during the course of the proof, we produce a diffeomorphism of Gr(2,4) which induces the identity map on all homology and homotopy groups, but which is not homotopic to the identity.
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published
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14 (1)
Pages / Article No.
29 - 38
Publisher
Wiley
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03839 - Biran, Paul I. / Biran, Paul I.