Results 71 to 80 of about 613 (131)
Four-manifolds, geometries and knots
, 2007 The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such manifolds
Hillman, Jonathan A
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On grid diagrams, braids and Markov moves
, 2010 Includes abstract.Includes bibliographical references (leaves 42).Grid diagrams are essential in the new combinatorial version [MOST07] of the Heegaard Floer knot homology, and proving that these homologies are actually knot and link invariants depends ...
Ayivor, Audry F
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The $CFK^\infty$ Type of Almost L-space Knots
, 2023 Heegaard Floer homology and knot Floer homology are powerful invariants of 3-manifolds and links respectively. L-space knots are knots which admit Dehn surgeries to 3-manifolds with Heegaard Floer homology of minimal rank. In this paper we study almost L-
Binns, Fraser
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Seifert manifolds and (1,1)-knots
, 2009 The aim of this paper is to investigate the relations between Seifert manifolds and (1,1)-knots. In particular, we prove that each orientable Seifert manifold with invariants{Oo,0| -1; (p,q),..., (p,q),(l, l-1)}, where (p,q) are taken n times, has a ...
MULAZZANI, MICHELE +3 more
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Milnor's invariants for knots and links in closed orientable 3-manifolds
In his 1957 paper, John Milnor introduced a collection of invariants for links in $S^3$ detecting higher-order linking phenomena by studying lower central quotients of link groups and comparing them to those of the unlink.
Stees, Ryan
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Bordered Legendrian knots and sutured Legendrian invariants
, 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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Hardness of computation of quantum invariants on 3-manifolds with restricted topology
International audienceQuantum invariants in low-dimensional topology offer a wide variety of valuable invariants about knots and 3-manifolds, presented by explicit formulas that are readily computable.
Ennes, Henrique, Maria, Clément
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, 2014 68 pages. Change of title, updates and minor reorganization of notes of five lectures presented in the ICPAM-ICTP research school of Meknès in May2012.
Lescop, Christine
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Counting simple knots via arithmetic invariants
, 2014 Knot theory and arithmetic invariant theory are two fields of mathematics that rely on algebraic invariants. We investigate the connections between the two, and give a framework for addressing asymptotic counting questions relating to knots and knot ...
Miller, Alison Beth
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Revealing the topological nature of entangled orbital angular momentum states of light. [PDF]
Nat Communde Mello Koch R +5 more
europepmc +1 more source