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Polynomial invariants of long virtual knots
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Weintroduceafamilyofpolynomialinvariantsbyusinginter- section index defined from a Gauss diagram of a long virtual knot, and we give some properties for long virtual knots. We extend these polynomials so that we give two-variable polynomial invariants and some example.
Abstract
Weintroduceafamilyofpolynomialinvariantsbyusinginter- section index defined from a Gauss diagram of a long virtual knot, and we give some properties for long virtual knots. We extend these polynomials so that we give two-variable polynomial invariants and some example.
참고문헌 (10)
- Z. Cheng, "A transcendental function invariant of virtual knots", arXiv:1511.08459v1math.GT, ~ (2015)
- A. Henrich, "A sequence of degree one Vassiliev Invariants for virtual knots", J. Knot Theory Ramifications, 19, pp.461~487 (2010)
- Y. H. Im, "A sequence of polynomial invariants for Gauss diagrams, to appear in J. Knot theory Ramifications", ~
- Y. H. Im, "A polynomial invariant of long virtual knots", European J. Combin, 30(5), pp.1289~1296 (2009)
- Y. H. Im, "Index polynomial invariant of virtual links", J. Knot Theory Ramifications, 19(5), pp.709~725 (2010)
- M. J. Jeong, "A zero polynoimal of virtual knots", J. Knot Theory Ramifications, 25(1), pp.1550078~ (2016)
- L. H. Kauffman, "Virtual knot theory", European J. Combin, 20, pp.663~690 (1999)
- V. Manturov, "Long virtual knots and their invariants", J. Knot Theory Ramifications, 13, pp.1029~1039 (2004)
- V. Turaev, "Lectures on topology of words", Japan J. Math, 2, pp.1~39 (2007)
- M. Polyak, "Minimal generating sets of Reidemeister moves", Quantum Topology, 1, pp.399~411 (2010)
관련 논문AI추천
Polynomial Invariants for Virtual Knots via Virtualization Moves김세라, 임영호영남수학회 · East Asian Mathematical Journal2020 · 제36권 제5호Generalized Alexander Polynomial for Virtual Links via Parity김세라, 김준오영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호Polynomials and Homotopy of Virtual Knot Diagrams박맹상, 박찬녕, 정명주경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호A polynomial invariant of polar links정명수장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호PARITY BRACKET POLYNOMIAL VIA SOME PARITY OF VIRTUAL LINKS임영호영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호Delta Moves and Arrow Polynomials of Virtual Knots박찬녕, 정명주경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호
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