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2019

Classifying Calabi-Yau threefolds using infinite distance limits

Grimm, Thomas W., Ruehle, Fabian, van de Heisteeg, Damian

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We present a novel way to classify Calabi-Yau threefolds by systematically studying their infinite volume limits.

Each such limit is at infinite distance in Kahler moduli space and can be classified by an associated limiting mixed Hodge structure.
We then argue that the such structures are labeled by a finite number of degeneration types that combine into a characteristic degeneration pattern associated to the underlying Calabi-Yau threefold.
These patterns provide a new invariant way to present crucial information encoded in the intersection numbers of Calabi-Yau threefolds.

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