Books > Science & Mathematics > Mathematics > Topology > Analytic topology
|
Buy Now
Invariants And Pictures: Low-dimensional Topology And Combinatorial Group Theory (Hardcover)
Loot Price: R3,183
Discovery Miles 31 830
|
|
Invariants And Pictures: Low-dimensional Topology And Combinatorial Group Theory (Hardcover)
Series: Series on Knots & Everything, 66
Expected to ship within 10 - 15 working days
|
This book contains an in-depth overview of the current state of the
recently emerged and rapidly growing theory of Gnk groups,
picture-valued invariants, and braids for arbitrary manifolds.
Equivalence relations arising in low-dimensional topology and
combinatorial group theory inevitably lead to the study of
invariants, and good invariants should be strong and apparent. An
interesting case of such invariants is picture-valued invariants,
whose values are not algebraic objects, but geometrical
constructions, like graphs or polyhedra.In 2015, V O Manturov
defined a two-parametric family of groups Gnk and formulated the
following principle: if dynamical systems describing a motion of n
particles possess a nice codimension 1 property governed by exactly
k particles then these dynamical systems possess topological
invariants valued in Gnk.The book is devoted to various
realisations and generalisations of this principle in the broad
sense. The groups Gnk have many epimorphisms onto free products of
cyclic groups; hence, invariants constructed from them are powerful
enough and easy to compare. However, this construction does not
work when we try to deal with points on a 2-surface, since there
may be infinitely many geodesics passing through two points. That
leads to the notion of another family of groups - nk, which give
rise to braids on arbitrary manifolds yielding invariants of
arbitrary manifolds.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.