Abstract analogues of flux as symplectic invariants
Mémoires de la Société Mathématique de France, no. 137 (2014) , 141 p.
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We study families of objects in Fukaya categories, specifically ones whose deformation behaviour is prescribed by the choice of an odd degree cohomology class. This leads to invariants of symplectic manifolds, which we apply to blowups along symplectic mapping tori.

Nous étudions des familles d’objets dans des catégories de Fukaya, en particulier celles dont le comportement infinitésimal est determiné par une classe de cohomologie de degré impair. Cette étude aboutit à des invariants des variétés symplectiques ; nous en tirons des conséquences pour les éclatements de tores d’applications symplectiques.

DOI: 10.24033/msmf.447
Classification: 53D40,  16E45
Keywords: Fukaya categories, Flux homomorphism, Floer cohomology
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Seidel, Paul. Abstract analogues of flux as symplectic invariants. Mémoires de la Société Mathématique de France, Serie 2, , no. 137 (2014), 141 p. doi : 10.24033/msmf.447. http://numdam.org/item/MSMF_2014_2_137__1_0/

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