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Abstract
We study the symplectic topology of certain K3 surfaces (including the "mirror quartic" and "mirror double plane"), equipped with certain Kähler forms. In particular, we prove that the symplectic Torelli group may be infinitely generated, and derive new constraints on Lagrangian tori. The key input, via homological mirror symmetry, is a result of Bayer and Bridgeland on the autoequivalence group of the derived category of an algebraic K3 surface of Picard rank one.
Original language | English |
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Pages (from-to) | 875–915 |
Journal | Journal of the american mathematical society |
Volume | 33 |
Issue number | 3 |
DOIs | |
Publication status | Published - 9 Jun 2020 |
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Dive into the research topics of 'Symplectic topology of K3 surfaces via mirror symmetry'. Together they form a unique fingerprint.Projects
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Nick Sheridan
- School of Mathematics - Personal Chair of Mirror Symmetry
Person: Academic: Research Active