Positive monotone symplectic manifolds are the symplectic analogues of Fano
varieties, namely they are compact symplectic manifolds for which the first
Chern class equals the cohomology class of the symplectic form.
In dimension 6, if the positive monotone symplectic manifold is acted on by
a circle in a Hamiltonian way, a conjecture of Fine and Panov asserts that
it is diffeomorphic to a Fano variety.
In this talk I will report on recent classification results of positive
monotone symplectic manifolds endowed with some special Hamiltonian actions
of a torus, showing some evidence that they are indeed (homotopy
equivalent/homeomorphic/diffeomorphic to) Fano varieties.
Angelegt am 10.07.2024 von Sandra Huppert
Geändert am 23.10.2024 von Sandra Huppert
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