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Abstract
We show that the
EH
class and the LOSS invariant of Legendrian knots in contact
3 –manifolds
are functorial under regular Lagrangian concordances in Weinstein cobordisms.
This gives computable obstructions to the existence of regular Lagrangian
concordances.
Keywords
contact structure, Legendrian knot, Lagrangian cobordism
Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57R17, 57R58
Publication
Received: 16 August 2018
Revised: 24 March 2019
Accepted: 3 April 2019
Published: 17 December 2019