First order local invariants of apparent contours

Toru Ohmoto; Francesca Aicardi

doi:10.1016/j.top.2005.04.005

First order local invariants of apparent contours

Toru Ohmoto^*, Francesca Aicardi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

For a smooth map from a closed surface to the two-dimensional plane, its critical value set is called the apparent contour. In this paper we study first order local Vassiliev-type invariants of generic apparent contours.

Original language	English
Pages (from-to)	27-45
Number of pages	19
Journal	Topology
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/j.top.2005.04.005
Publication status	Published - 2006 Jan
Externally published	Yes

Keywords

Apparent contour
Arnold invariants
Bennequin invariant
Vassiliev-type invariants
Wavefront

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.top.2005.04.005

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title = "First order local invariants of apparent contours",

abstract = "For a smooth map from a closed surface to the two-dimensional plane, its critical value set is called the apparent contour. In this paper we study first order local Vassiliev-type invariants of generic apparent contours.",

keywords = "Apparent contour, Arnold invariants, Bennequin invariant, Vassiliev-type invariants, Wavefront",

author = "Toru Ohmoto and Francesca Aicardi",

year = "2006",

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doi = "10.1016/j.top.2005.04.005",

language = "English",

volume = "45",

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AU - Ohmoto, Toru

AU - Aicardi, Francesca

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N2 - For a smooth map from a closed surface to the two-dimensional plane, its critical value set is called the apparent contour. In this paper we study first order local Vassiliev-type invariants of generic apparent contours.

AB - For a smooth map from a closed surface to the two-dimensional plane, its critical value set is called the apparent contour. In this paper we study first order local Vassiliev-type invariants of generic apparent contours.

KW - Apparent contour

KW - Arnold invariants

KW - Bennequin invariant

KW - Vassiliev-type invariants

KW - Wavefront

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DO - 10.1016/j.top.2005.04.005

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SN - 0040-9383

VL - 45

SP - 27

EP - 45

JO - Topology

JF - Topology

IS - 1

ER -

First order local invariants of apparent contours

Abstract

Keywords

ASJC Scopus subject areas

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