Universität zu Köln

Granja, Gustavo, Karshon, Yael, Pabiniak, Milena and Sandon, Sheila (2021). Givental's Non-linear Maslov Index on Lens Spaces. Int. Math. Res. Notices, 2021 (23). S. 18225 - 18300. OXFORD: OXFORD UNIV PRESS. ISSN 1687-0247

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Granja, Gustavo UNSPECIFIED UNSPECIFIED UNSPECIFIED Karshon, Yael UNSPECIFIED UNSPECIFIED UNSPECIFIED Pabiniak, Milena UNSPECIFIED UNSPECIFIED UNSPECIFIED Sandon, Sheila UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-593547
DOI:	10.1093/imrn/rnz350
Journal or Publication Title:	Int. Math. Res. Notices
Volume:	2021
Number:	23
Page Range:	S. 18225 - 18300
Date:	2021
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1687-0247
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUASI-STATES; CONTACT; HOMOLOGY; GEOMETRY; CONTACTOMORPHISMS; QUASIMORPHISMS; ORDERABILITY; COHOMOLOGY; POINTS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/59354