지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 741 - 752 (12page)
이용수
초록· 키워드
오류제보하기
We introduce the warping crossing polynomial of an oriented knot diagram by using the warping degrees of crossing points of the diagram. Given a closed transversely intersected plane curve, we consider oriented knot diagrams obtained from the plane curve as states to take the sum of the warping crossing polynomials for all the states for the plane curve. As an application, we show that every closed transversely intersected plane curve with even crossing points has two independent canonical orientations and every based closed transversely intersected plane curve with odd crossing points has two independent canonical orientations.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
A. Kawauchi / 1996 / A survey of knot theory / Birkhauser
A. Kawauchi / 2007 / Lectures on knot theory(in Japanese) / Kyoritsu shuppan Co. Ltd
A. Kawauchi / 2009 / Knots and softmatter physics, Topology of polymers and related topics in physics, mathematics and biology / Bussei Kenkyu : 16 ~ 19
A. Shimizu / 2010 / The warping degree of a knot diagram / J. Knot Theory Rami cations 19 : 849 ~ 857
A. Shimizu / 2011 / The warping degree of a link diagram / Osaka J. Math 48 : 209 ~ 231
A. Kawauchi / 2007 / Lectures on knot theory(in Japanese) / Kyoritsu shuppan Co. Ltd
A. Kawauchi / 2009 / Knots and softmatter physics, Topology of polymers and related topics in physics, mathematics and biology / Bussei Kenkyu : 16 ~ 19
A. Shimizu / 2010 / The warping degree of a knot diagram / J. Knot Theory Rami cations 19 : 849 ~ 857
A. Shimizu / 2011 / The warping degree of a link diagram / Osaka J. Math 48 : 209 ~ 231
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