On subgroups of fixed index

White, George K.

doi:10.2140/pjm.1969.28.225

Cited by 3 publications

(3 citation statements)

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“…This formula is well known as White formula [26] with T w(γ m ) and Wr(γ m ) being the twisting number and writhing number of γ m respectively. So we get another portion of Hopf invariant…”

Section: The Precise Expression For Hopf Invariantmentioning

confidence: 99%

Inner topological structure of Hopf invariant

Ren

Duan

2007

Journal of Mathematical Physics

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In light of φ-mapping topological current theory, the inner topological structure of Hopf invariant is investigated. It is revealed that Hopf invariant is just the winding number of Gauss mapping.According to the inner structure of topological current, a precise expression for Hopf invariant is also presented. It is the total sum of all the self-linking and all the linking numbers of the knot family.

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Section: The Precise Expression For Hopf Invariantmentioning

confidence: 99%

Inner topological structure of Hopf invariant

Ren

Duan

2007

Journal of Mathematical Physics

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“…The writhe of a space curve r(u), where u is some parameterization of the curve, is given by equation (1.4) (White, 1969;Vologodskii et a/., 1979). Writhe is a global property of a curve.…”

Section: Writhe Per Unit Lengthmentioning

confidence: 99%

“…In 1969, the mathematician James White (White, 1969) found that Lk can be expressed as the sum of two quantities, which Fuller (1971) later named twist (Tw) and writhe (Wr):…”

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confidence: 99%

Theoretical study of the conformation and energy of supercoiled DNA

Hunt

1992

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This document was prepared as an account of work sponsored by the United States Government. Neither the United States Government nor any agency thereof, nor The Regents of the University of California, norany oftheir employees, makes anywarranty, express orimplied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, orprocess disclosed, orrepresents thatits usewould notinfringe privately owned righls. Reference hereintoany specific commercial product, process, orservice by its tradename, trademark, manufacturer, or otherwise, does notnecessarily constitute or implyiis endorsement, recommendation, orfavoring by theUnitedStates Govenunentorany agencythereof, orThe RegentsoftheUniversity of California. The viewsand opinions ofauthors expressed herein do notnecessarily state orreflect those oftheUnitedStates Government or any agency thereof or The Regents of the University of California and shall not be used for advertising or product endorsement purposes.

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Algebra

Mishina¹

1974

J Math Sci

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On subgroups of fixed index

Cited by 3 publications

References 4 publications

Inner topological structure of Hopf invariant

Inner topological structure of Hopf invariant

Theoretical study of the conformation and energy of supercoiled DNA

Algebra

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