[图书][B] 3-manifold groups
M Aschenbrenner, S Friedl, H Wilton - 2015 - ems.press
The topic of this book is 3-manifold groups, that is, fundamental groups of compact 3-
manifolds. This class of groups sits between the class of fundamental groups of surfaces …
manifolds. This class of groups sits between the class of fundamental groups of surfaces …
3-manifold groups
M Aschenbrenner, S Friedl, H Wilton - arXiv preprint arXiv:1205.0202, 2012 - arxiv.org
arXiv:1205.0202v3 [math.GT] 24 Apr 2013 Page 1 arXiv:1205.0202v3 [math.GT] 24 Apr 2013
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …
[图书][B] Encyclopedia of knot theory
" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
Geometrization of three-dimensional orbifolds via Ricci flow
B Kleiner, J Lott - arXiv preprint arXiv:1101.3733, 2011 - arxiv.org
A three-dimensional closed orientable orbifold (with no bad suborbifolds) is known to have a
geometric decomposition from work of Perelman along with earlier work of Boileau-Leeb …
geometric decomposition from work of Perelman along with earlier work of Boileau-Leeb …
[PDF][PDF] Unsolved problems in virtual knot theory and combinatorial knot theory
R Fenn, DP Ilyutko, LH Kauffman… - arXiv preprint arXiv …, 2014 - arxiv.org
arXiv:1409.2823v1 [math.GT] 9 Sep 2014 Unsolved Problems in Virtual Knot Theory and
Combinatorial Knot Theory Page 1 arXiv:1409.2823v1 [math.GT] 9 Sep 2014 Unsolved …
Combinatorial Knot Theory Page 1 arXiv:1409.2823v1 [math.GT] 9 Sep 2014 Unsolved …
Prime decompositions of knots in T2× I
SV Matveev - Topology and its Applications, 2012 - Elsevier
The famous H. Schubert theorem (1949) states that any nontrivial knot in S3 admits a
decomposition into connected sum of prime factors, which are unique up to order. We prove …
decomposition into connected sum of prime factors, which are unique up to order. We prove …
[PDF][PDF] A semigroup of theta-curves in 3-manifolds
arXiv:1005.0308v1 [math.GT] 3 May 2010 Page 1 arXiv:1005.0308v1 [math.GT] 3 May 2010 A
semigroup of theta-curves in 3-manifolds Sergei Matveev1, Vladimir Turaev2 Abstract. We …
semigroup of theta-curves in 3-manifolds Sergei Matveev1, Vladimir Turaev2 Abstract. We …
Roots and decompositions of three-dimensional topological objects
SV Matveev - Russian Mathematical Surveys, 2012 - iopscience.iop.org
In 1942 MHA Newman formulated and proved a simple lemma of great importance for
various fields of mathematics, including algebra and the theory of Gröbner-Shirshov bases …
various fields of mathematics, including algebra and the theory of Gröbner-Shirshov bases …
Equivariant Heegaard genus of reducible 3-manifolds
SA Taylor - … Proceedings of the Cambridge Philosophical Society, 2023 - cambridge.org
The equivariant Heegaard genus of a 3-manifold W with the action of a finite group G of
diffeomorphisms is the smallest genus of an equivariant Heegaard splitting for W. Although a …
diffeomorphisms is the smallest genus of an equivariant Heegaard splitting for W. Although a …
Reduction of knots in thickened surfaces and virtual knots.
FG Korablev, SV Matveev - Doklady Mathematics, 2011 - search.ebscohost.com
The article discusses the application of reductions of knots in thickened surfaces to a
homologically nontrivial virtual knots. It stresses the possibility of the application of …
homologically nontrivial virtual knots. It stresses the possibility of the application of …