Givental’s Non-linear Maslov Index on Lens Spaces-Reference-Cited by-同舟云学术

Givental’s Non-linear Maslov Index on Lens Spaces

Published:2020-04-16 Issue:23 Volume:2021 Page:18225-18299
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Granja Gustavo¹,Karshon Yael²,Pabiniak Milena³,Sandon Sheila⁴

Affiliation:

1. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

2. Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, Ontario M5S 2E4, Canada

3. Mathematisches Institut, Universität zu Köln, Cologne 50931, Germany

4. Université de Strasbourg, CNRS, IRMA UMR 7501, F-67000 Strasbourg, France

Abstract

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.

Funder

Fundação para a Ciência e a Tecnologia

Calouste Gulbenkian Foundation

Natural Sciences and Engineering Research Council of Canada

Deutsche Forschungsgemeinschaft

Agence Nationale de la Recherche

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/23/18225/42309351/rnz350.pdf

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