Abstract
We study the problem of description of the symplectic map** class groups \(\pi _0\big ( {\textit{Symp}}( X,\omega ) \big )\) (SyMCG) of rational 4-manifolds \(X={{\mathbb {C}}{\mathbb {P}}}^2 \# l\overline{{{\mathbb {C}}{\mathbb {P}}}}^2\). We specify a certain class of symplectic forms \(\omega \) on such X for which we give a finite presentation of the SyMCG with generators symplectic Dehn twists along Lagrangian spheres. This is a joint work with my scientific advisor Vsevolod Shevchishin.
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Alekseeva, D. (2021). Presentation of Symplectic Map** Class Group of Rational 4-Manifolds. In: Alberich-Carramiñana, M., Blanco, G., Gálvez Carrillo, I., Garrote-López, M., Miranda, E. (eds) Extended Abstracts GEOMVAP 2019. Trends in Mathematics(), vol 15. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-84800-2_9
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DOI: https://doi.org/10.1007/978-3-030-84800-2_9
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