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Givental’s non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space. This invariant was used… Click to show full abstract
Givental’s non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space. This invariant was used by several authors to prove contact rigidity phenomena such as orderability, unboundedness of the discriminant and oscillation metrics, and a contact geometric version of the Arnold conjecture. In this article, we give an analogue for lens spaces of Givental’s construction and its applications.
Keywords:
linear maslov;
non linear;
givental non;
maslov index;
lens spaces
Journal Title: International Mathematics Research Notices
Year Published: 2020
Link to full text (if available)
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Journal Title: International Mathematics Research Notices
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!