Virtual knot theory
LH Kauffman - Encyclopedia of Knot Theory, 2021 - books.google.com
Virtual knot theory is an extension of classical knot theory to stabilized embeddings of circles
into thickened orientable surfaces of genus possibly greater than zero. Classical knot theory …
into thickened orientable surfaces of genus possibly greater than zero. Classical knot theory …
Unsupervised learning of topological non-Abelian braiding in non-Hermitian bands
The topological classification of energy bands has laid the foundation for the discovery of
various topological phases of matter in recent decades. While previous work focused on real …
various topological phases of matter in recent decades. While previous work focused on real …
[图书][B] Knot theory
VO Manturov - 2018 - taylorfrancis.com
Over the last fifteen years, the face of knot theory has changed due to various new theories
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …
Knot diagrammatics
LH Kauffmans - Handbook of knot theory, 2005 - Elsevier
Publisher Summary This chapter reviews knot theory and explains the invariants of knots
and links from the point of view of categories of diagrams. It discusses the foundations of …
and links from the point of view of categories of diagrams. It discusses the foundations of …
Introduction to virtual knot theory
LH Kauffman - Journal of Knot Theory and Its Ramifications, 2012 - World Scientific
INTRODUCTION TO VIRTUAL KNOT THEORY Page 1 Journal of Knot Theory and Its
Ramifications Vol. 21, No. 13 (2012) 1240007 (37 pages) c© World Scientific Publishing …
Ramifications Vol. 21, No. 13 (2012) 1240007 (37 pages) c© World Scientific Publishing …
Multi-boundary entanglement in Chern-Simons theory and link invariants
A bstract We consider Chern-Simons theory for gauge group G at level k on 3-manifolds M n
with boundary consisting of n topologically linked tori. The Euclidean path integral on M n …
with boundary consisting of n topologically linked tori. The Euclidean path integral on M n …
Problems on invariants of knots and 3-manifolds
T Ohtsuki - Geom. Topol. Monogr, 2002 - msp.org
The workshop and seminars on “Invariants of knots and 3-manifolds” was held at Research
Institute for Mathematical Sciences, Kyoto University in September 2001. There were 25 …
Institute for Mathematical Sciences, Kyoto University in September 2001. There were 25 …
Minimal surface representations of virtual knots and links
HA Dye, LH Kauffman - Algebraic & Geometric Topology, 2005 - msp.org
Abstract Kuperberg [Algebr. Geom. Topol. 3 (2003) 587-591] has shown that a virtual knot
diagram corresponds (up to generalized Reidemeister moves) to a unique embedding in a …
diagram corresponds (up to generalized Reidemeister moves) to a unique embedding in a …
Khovanov module and the detection of unlinks
M Hedden, Y Ni - Geometry & Topology, 2013 - msp.org
We study a module structure on Khovanov homology, which we show is natural under the
Ozsváth–Szabó spectral sequence to the Floer homology of the branched double cover. As …
Ozsváth–Szabó spectral sequence to the Floer homology of the branched double cover. As …