Local invariants of framed fronts in 3-manifolds
type: Item
instance of: scholarly article
title: Local invariants of framed fronts in 3-manifolds
zbMATH Open document ID: 1331.53110
author: V. V. Goryunov
author: Suliman Alsaeed
published in: Arnold Mathematical Journal
publication date: 2015-10-05T00:00:00Z
review text: The authors deal with front invariants whose increments in generic homotopies are determined entirely by diffeomorphism types of local bifurcations of the fronts. Such invariants are dual to trivial 1-cycles supported on the discriminant in the space of the corresponding Legendrian maps. They describe the space of discriminantal cycles (possibly non-trivial) for framed fronts in an arbitrary oriented 3-manifold, both for the integer and mod-2 coefficients. For most of these cycles the homotopy-independent interpretations are found which guarantee the triviality required. In particular, the authors prove that all integer local invariants of Legendrian maps without corank-2 points are essentially exhausted by the number of points of isolated singularity types of the fronts.
reviewed by: Cristian Ida
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 35A18
zbMATH DE Number: 6489370
zbMATH Keywords: Lagrangian maps
zbMATH Keywords: framed fronts singularities
zbMATH Keywords: discriminantal cycles
zbMATH Keywords: generic families of maps
MaRDI profile type: Publication
full work available at URL: s40598-015-0016-4
OpenAlex ID: W1170691744
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DOI: 10.1007/S40598-015-0016-4
description: scientific article; zbMATH DE number 6489370