Results 71 to 80 of about 409 (133)
Negative contact surgery on Legendrian non-simple knots [PDF]
We prove that for any pair of Legendrian representatives of the Chekanov-Eliashberg twist knots with different LOSS invariants, any negative rational contact $r$-surgery with $r\neq -1$ always gives rise to different contact 3-manifolds distinguished by ...
Wan, Shunyu, Zhou, Hugo
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, 2012 We define two kinds of invariants of links in closed 3-manifolds, the s-complexity(s ∈ ℕ) and the block number, by considering decompositions of links in closed orientable 3-manifolds by spines.
YUYA KODA
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, 2002 This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander ...
Burde, Gerhard, Zieschang, Heiner
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On Invariants And Homology Of Spaces Of Knots In Arbitrary Manifolds
, 1997 The construction of finite-order knot invariants in R³, based on resolutions of discriminant sets, can be carried out immediately to the case of knots in an arbitrary three-dimensional manifold M (may be non-orientable) and, moreover, to the calculation ...
V. A. Vassiliev
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Differential and symplectic topology of knots and curves
, 1999 This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian knots and links in 3-dimensional contact manifolds.
Tabachnikov, S
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Quantum groups and knot invariants
, 1997 ISBN 2-85629-055-8, ISSN 1272-3835 Traduction en russe (resp. scientifique N. E. Mnëv, trad. P. N. Mnëv), Institut Komp'yuternykh Issledovanij, 140 p. Moscou (2002).
Turaev, Vladimir +2 more
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Bordered Legendrian knots and sutured Legendrian invariants [PDF]
, 2011 Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.Cataloged from PDF version of thesis.Includes bibliographical references (p.
Sivek, Steven (Steven W.)
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This is the third article in a series devoted to the study of the asymptotic expansions of various quantum invariants related to the twist knots. In this paper, by using the saddle point method developed by Ohtsuki and Yokota, we obtain an asymptotic ...
Chen, Qingtao, Zhu, Shengmao
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New invariants of involutions from Seiberg-Witten Floer theory [PDF]
We study equivariant Seiberg-Witten Floer theory of rational homology $3$-spheres in the special case where the group action is given by an involution. The case of involutions deserves special attention because we can couple the involution to the charge ...
Hekmati, Pedram, Baraglia, David
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A note on the involutive invariants of splices [PDF]
A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors. We show that such 3-manifolds have locally trivial involutive Floer homology.
Zemke, Ian +2 more
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