Vanishing of 3-loop Jacobi diagrams of odd  degree

Daniel Moskovich; Tomotada Ohtsuki

doi:10.1016/j.jcta.2006.10.005

Vanishing of 3-loop Jacobi diagrams of odd degree

Daniel Moskovich
, Tomotada Ohtsuki

Kyoto University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop Vassiliev invariant can distinguish between a knot and its inverse. (c) 2006 Elsevier Inc. All rights reserved.

Original language	English
Journal	Journal of Combinatorial Theory, Series A
Volume	114
Issue number	5
Pages (from-to)	919-930
ISSN	0097-3165
DOIs	https://doi.org/10.1016/j.jcta.2006.10.005
Publication status	Published - 2007
Externally published	Yes

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title = "Vanishing of 3-loop Jacobi diagrams of odd degree",

abstract = "We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop Vassiliev invariant can distinguish between a knot and its inverse. (c) 2006 Elsevier Inc. All rights reserved.",

author = "Daniel Moskovich and Tomotada Ohtsuki",

year = "2007",

doi = "10.1016/j.jcta.2006.10.005",

language = "English",

volume = "114",

pages = "919--930",

journal = "Journal of Combinatorial Theory, Series A",

issn = "0097-3165",

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AU - Moskovich, Daniel

AU - Ohtsuki, Tomotada

PY - 2007

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N2 - We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop Vassiliev invariant can distinguish between a knot and its inverse. (c) 2006 Elsevier Inc. All rights reserved.

AB - We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop Vassiliev invariant can distinguish between a knot and its inverse. (c) 2006 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.jcta.2006.10.005

DO - 10.1016/j.jcta.2006.10.005

M3 - Journal article

SN - 0097-3165

VL - 114

SP - 919

EP - 930

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 5

ER -

Vanishing of 3-loop Jacobi diagrams of odd degree

Abstract

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