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Author: Desmond Sheiham Publisher: American Mathematical Soc. ISBN: 0821833405 Category : Mathematics Languages : en Pages : 128
Book Description
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
Author: Desmond Sheiham Publisher: American Mathematical Soc. ISBN: 0821833405 Category : Mathematics Languages : en Pages : 128
Book Description
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
Author: Jonathan Arthur Hillman Publisher: World Scientific ISBN: 9814407399 Category : Mathematics Languages : en Pages : 370
Book Description
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology. This second edition introduces two new chapters OCo twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Author: Jonathan Hillman Publisher: World Scientific ISBN: 9814407402 Category : Mathematics Languages : en Pages : 370
Book Description
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology.This second edition introduces two new chapters — twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Author: Tim D. Cochran Publisher: American Mathematical Soc. ISBN: 9780821824894 Category : Mathematics Languages : en Pages : 102
Book Description
We investigate higher-order cohomology operations (Massey products) on complements of links of circles in [italic]S3. These are known to be essentially equivalent to the [lowercase Greek]Mu [with macron]-invariants of John Milnor, which detect whether or not the longitudes of the link lie in the [italic]n[superscript]th term of the lower central series of the fundamental group of the link compliment. We define a geometric "derivative" on the set of all links and use this to define higher-order linking numbers which are shown to be "pieces" of Massey products.
Author: Mihai Ciucu Publisher: American Mathematical Soc. ISBN: 082183794X Category : Mathematics Languages : en Pages : 162
Book Description
Studies the correlation of holes in random lozenge (i.e., unit rhombus) tilings of the triangular lattice. This book analyzes the joint correlation of these triangular holes when their complement is tiled uniformly at random by lozenges.
Author: Mike Field Publisher: American Mathematical Soc. ISBN: 0821835998 Category : Mathematics Languages : en Pages : 113
Book Description
On the assumption that the $\Gamma$-orbits all have dimension equal to that of $\Gamma$, this title shows that there is a naturally defined $F$- and $\Gamma$-invariant measure $\nu$ of maximal entropy on $\Lambda$ (it is not assumed that the action of $\Gamma$ is free).
Author: Michael Cwikel Publisher: American Mathematical Soc. ISBN: 0821833820 Category : Mathematics Languages : en Pages : 142
Book Description
Includes a paper that provides necessary and sufficient conditions on a couple of Banach lattices of measurable functions $(X_{0}, X_{1})$ which ensure that, for all weight functions $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou
Author: Robert Ray Bruner Publisher: American Mathematical Soc. ISBN: 0821833669 Category : Mathematics Languages : en Pages : 144
Book Description
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Author: Ottmar Loos Publisher: American Mathematical Soc. ISBN: 0821835467 Category : Mathematics Languages : en Pages : 232
Book Description
We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.
Author: Enrique Artal-Bartolo Publisher: American Mathematical Soc. ISBN: 0821838768 Category : Mathematics Languages : en Pages : 98
Book Description
Intends to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, this title computes the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h, T)$ of a quasi-ordinary power series $h$ of arbitrary dimension
Author: Desmond Sheiham
Author: Desmond Sheiham
Author: Jonathan Arthur Hillman
Author: Jonathan Hillman
Author: Tim D. Cochran
Author: Mihai Ciucu
Author: Mike Field
Author: Michael Cwikel
Author: Robert Ray Bruner
Author: Ottmar Loos
Author: Enrique Artal-Bartolo