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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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It is known that there is an infinite family of general pretzel knots, each of which has Rasmussen s-invariant equal to the negative value of its signature invariant. For an instance, homologically ${\sigma}$-thin knots have this property. In contrast, we find an infinite family of 4-strand pretzel knots whose Rasmussen invariants are not equal to the negative values of signature invariants.
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참고문헌 (16)
참고문헌 신청
T. Abe / 2010 / The dealternating number and the alternation number of a closed 3-braid / J. Knot Theory Ramifications 19(9):1157~1181
M. M. Asaeda / 2004 / Khovanov homology: torsion and thick-ness, Advances in topological quantum field theory / NATO Sci. Ser. II Math. Phys. Chem. 179:135~166
A. Beliakova / 2008 / Categorification of the colored Jones polynomial and Rasmussen invariant of links / Canad. J. Math 60(6):1240~1266
J. Greene / 2010 / Homologically thin, non-quasi-alternating links / Math. Res. Lett 17(1):39~49
S. Jabuka / 2010 / Rational Witt classes of pretzel knots / Osaka J. Math 47(4):977~1027
M. M. Asaeda / 2004 / Khovanov homology: torsion and thick-ness, Advances in topological quantum field theory / NATO Sci. Ser. II Math. Phys. Chem. 179:135~166
A. Beliakova / 2008 / Categorification of the colored Jones polynomial and Rasmussen invariant of links / Canad. J. Math 60(6):1240~1266
J. Greene / 2010 / Homologically thin, non-quasi-alternating links / Math. Res. Lett 17(1):39~49
S. Jabuka / 2010 / Rational Witt classes of pretzel knots / Osaka J. Math 47(4):977~1027
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