Higher-order invariants of immersions of surfaces into 3-space

Tahl Nowik

doi:10.2140/pjm.2006.223.333

Higher-order invariants of immersions of surfaces into 3-space

Tahl Nowik

Department of Mathematics

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

4 Scopus citations

Abstract

We classify all finite-order invariants of immersions of a closed orientable surface into ℝ³, with values in any abelian group. We show that they are all functions of an order one invariant.

Original language	English
Pages (from-to)	333-347
Number of pages	15
Journal	Pacific Journal of Mathematics
Volume	223
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2006.223.333
State	Published - Feb 2006

Keywords

Finite order invariants
Immersions of surfaces

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10.2140/pjm.2006.223.333

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title = "Higher-order invariants of immersions of surfaces into 3-space",

abstract = "We classify all finite-order invariants of immersions of a closed orientable surface into ℝ3, with values in any abelian group. We show that they are all functions of an order one invariant.",

keywords = "Finite order invariants, Immersions of surfaces",

author = "Tahl Nowik",

year = "2006",

month = feb,

doi = "10.2140/pjm.2006.223.333",

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Higher-order invariants of immersions of surfaces into 3-space

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Keywords

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