Non-trivial smooth families of K3 surfaces

نویسندگان

چکیده

Let X be a complex K3 surface, $$\textrm{Diff}(X)$$ the group of diffeomorphisms and $$\textrm{Diff}_0(X)$$ identity component. We prove that fundamental contains free abelian countably infinite rank as direct summand. The summand is detected using families Seiberg–Witten invariants. moduli space Einstein metrics on used key ingredient in proof.

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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2022

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-022-02508-3