Cobordism of algebraic knots defined by brieskorn polynomials

Vincent Blanloeil; Osamu Saeki

doi:10.3836/tjm/1327931395

Cobordism of algebraic knots defined by brieskorn polynomials

Vincent Blanloeil, Osamu Saeki

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

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Abstract

In this paper we study the cobordism of algebraic knots associated with weighted homogeneous polynomials, and in particular Brieskorn polynomials. Under some assumptions we prove that the associated algebraic knots are cobordant if and only if the Brieskorn polynomials have the same exponents.

Original language	English
Pages (from-to)	429-443
Number of pages	15
Journal	Tokyo Journal of Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.3836/tjm/1327931395
Publication status	Published - Jan 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Cobordism of algebraic knots defined by brieskorn polynomials",

abstract = "In this paper we study the cobordism of algebraic knots associated with weighted homogeneous polynomials, and in particular Brieskorn polynomials. Under some assumptions we prove that the associated algebraic knots are cobordant if and only if the Brieskorn polynomials have the same exponents.",

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Cobordism of algebraic knots defined by brieskorn polynomials

Abstract

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