Universität zu Köln

Limouzineau, Maylis (2020). On Legendrian cobordisms and generating functions. J. Knot Theory Ramifications, 29 (3). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6527

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Abstract

This note concerns Legendrian cobordisms in one-jet spaces of functions, in the sense of Arnol'd [Lagrange and Legendre cobordisms. I, Funkt. Anal. Prilozhen. 14(3) (1980) 1-13, 96.] - consisting of big Legendrian submanifolds between two smaller ones. We are interested in such cobordisms which fit with generating functions, and wonder which structures and obstructions come with this notion. As a central result, we show that the classes of Legendrian concordances with respect to the generating function equipment can be given a group structure. To this construction, we add one of a homotopy with respect to generating functions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Limouzineau, Maylis UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-342018
DOI:	10.1142/S021821652050008X
Journal or Publication Title:	J. Knot Theory Ramifications
Volume:	29
Number:	3
Date:	2020
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6527
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LAGRANGIAN COBORDISMS; CONTACT HOMOLOGY; FAMILIES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34201