Hillman J.A. — Alexander Ideals of Links :: Электронная библиотека попечительского совета мехмата МГУ

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Hillman J.A. — Alexander Ideals of Links

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Название: Alexander Ideals of Links

Автор: Hillman J.A.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2008

Количество страниц: 188

Добавлена в каталог: 01.06.2008

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Предметный указатель

Adjoint map of a pairing, Adb      117
Alexander class, $\delta(M)$       119
Alexander ideals,       40
Alexander module, A(G), A(L)      40
Alexander module, truncated,       59
Alexander nullity, $\alpha(L)$       42
Alexander polynomial, $\Delta_k(L)$       40
Alexander polynomial, reduced, $\Delta_{red}(L)$       102
Algebraic link      112
Annihilator ideal, Ann M      27
Augmentation of the Laurent polynomial ring, $\varepsilon:\Lambda_{\mu}\rightarrow\mathbb{Z}$       11
BAILEY: theorem on presentations of link modules (u=2)      93
Blanchfield duality      120
Blanchfield pairing, , $B_{\Sigma}(L)$       121
BLANCHFIELD: theorem on symmetry of Alexander polynomials      84 119
Boundary concordance      124 150
Boundary concordance, $\mathbb{Z}/2\mathbb{Z}$       150
Boundary link      7
Boundary link, $\mathbb{Z}/2\mathbb{Z}$       141
Cartan — Leray spectral sequence      12
Chen group, Q(G;q)      50
Chen kernel G(»)      63
COCHRAN: lemma on       43
Concordance      3
Conjugate module, $\bar{M}$       12
Conway identity      99
Cover, finite cyclic      113
Cover, maximal abelian, X’      10
Cover, maximal free, $X^{\omega}$       13
Cover, total linking number, $X^{\tau}$       101
CR0WELL: equivalence of corresponding group and module sequences      41
Cramer’s Rule      28
CROWELL and BROWN: theorem on homology boundary links $(\mu=2)$       67
CROWELL and STRAUSS: theorem on elementary ideals      49
Crowell exact sequence      40
CROWELL: theorem on splitting link module sequences      48
Divisorial hull, $\tilde{I}$       29
Elementary ideal,       27
Equivariant (co)homology, $H_*(X;\Lambda)$       11
Exterior, link, X(L)      4
Fibred link      109
Group, Chen, Q(G;q)      50
Group, free metabelian, $F(\mu)/F(\mu)"$       67
Group, free, $F(\mu)$       8
Group, link, G(L)      4
Group, ribbon, H(R)      21
GUTIERREZ: characterization of trivial n-link $(n \geq 4)$       8
HEMPEL: lemma on unknotting by surgery      136
Hermitean pairing, ( $\varepsilon$ -)      117
Homology boundary link      8
Homology boundary link, (weak) $\mathbb{Z}/2\mathbb{Z}$       143
Hosokawa polynomial, $\nabla(L)$       102
HOSOKAWA: characterization of reduced Alexander polynomial      103
I-equivalence      3
Ideal class      37
Involution of the Laurent polynomial ring, $-:\Lambda_{\mu}\rightarrow\Lambda_{\mu}$       11
Isotopy, local      3
KERVAIRE: characterization of n-link groups, $(n \geq 3)$       5
KIDWELL: theorem on divisibility of reduced Alexander polynomial      106
Knot      2
Laurent polynomial ring, $\Lambda_{\mu}$       11
LEVINE: lemma on elementary ideals      32
Link exterior, X(L)      4
Link group, G(L)      4
Link module (Bailey)      93
Link module sequence (Crowell)      48
Link type      2
Link, $L: \mu S^n\rightarrow S^{n+2}$       2
Link, boundary      7

Link, homology boundary      8
Link, ribbon      16
Link-homotopy      4
Linking number      6
Linking pairing      118
Local isotopy      3
Longitude, longitudinal curve      6
MASSEY: theorem on completions of link module sequences      51
Mayer — Vietoris sequence for (homology) boundary link      14 12
Meridian, meridianal curve      5
Milnor signature      135
MILNOR: theorem on presentation of nilpotent quotients      10
monodromy      112
Murasugi nullity, $\eta(L)$       140
MURASUGI: theorem on Chen groups $(\mu=2)$       58
MURASUGI: theorem on link-homotopy      98
Neutral linking pairing      118
NIELSEN: theorem on primitive elements in F(2)      79
Nilpotent quotient,       10
Normal closure, «S»      5
Null concordant      3
Nullity, Alexander, $\alpha(L)$       42
Nullity, Murasugi, $\eta(L)$       140
Nullity, reduced, $\kappa(L)$       108
Orientation convention      2
Perfect pairing      117
Poincare’ duality      12
Preabelian presentation      10
Primitive element of free group      79
Primitive pairing      117
Property r      18
Pseudozero      32
Rank      27
Reduced Alexander polynomial, $\Delta_{red}(L)$       102
Reduced nullity, $\kappa(L)$       108
Ribbon conjecture      17
Ribbon group, H(R)      21
Ribbon link      16
Ribbon map      16
ROLFSEN: theorem on isotopy of links      3
Seifert surface      7
Seifert surface, singular      8
SEIFERT:characterization of knot polynomial      91
Sesquilinear pairing      117
Short free resolution      27
Slice link      3
Slit      16
SMYTHE: conjecture on links with Alexander polynomial 0      54
SMYTHE: theorem on boundary links      8
Splittable link      5
STALLINGS: theorem on homology and nilpotent quotients      10
Steinitz — Fox — Smythe invariant, $\rho(M)$ , $\gamma(M)$       37
Sum of linking pairings      118
Surgery      17 136
Throughcut      16
Torres conditions      83
Torsion (sub-) module, $\tau M$       27
Total linking number cover, $X^{\tau}$       101
Total linking number homomorphism $(\mathbb{Z}/2\mathbb{Z})$       144
TRALDI: theorem on $E_{\mu-1}(L)$ modulo $I^2_{\mu}$       90
TRALDI: theorem on higher elementary ideals in link module sequences      49
TRALDI: theorem on higher elementary ideals of sublinks      86
Tristram signatures      135
Universal Coefficient spectral sequence      12
Wang sequence      101
Weak concordance      116
Wirtinger presentation      9
Witt equivalence      118
Witt group, $W_{\varepsilon}(F,R,)$       118

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