Class information for:
Level 2: HYPERBOLIC 3 MANIFOLD//DEHN SURGERY//GROUPS GEOMETRY AND DYNAMICS

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
491 14793 18.0 36%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
116 67192 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

Classes in level below (level 1)


ID, lev. below Publications Label for level below
1528 2524 DEHN SURGERY//HEEGAARD SPLITTING//HEEGAARD SPLITTINGS
2684 2101 CONJUGACY SEPARABLE//LIMIT GROUPS//RESIDUALLY FINITE
7868 1242 TEICHMULLER SPACE//WEIL PETERSSON METRIC//TEICHMULLER METRIC
9588 1074 DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION
11677 899 FINITE DERIVATION TYPE//THOMPSONS GROUP//DIAGRAM GROUPS
14017 734 TITS METRIC//KAC MOODY GROUP//TWIN BUILDING
14647 690 JOHNSON HOMOMORPHISM//MAPPING CLASS GROUP//TORELLI GROUP
14704 686 COMPLEX HYPERBOLIC GEOMETRY//FLAT MANIFOLDS//DISCRETENESS CRITERION
15649 629 CLIFFORD KLEIN FORM//COHOMOLOGICAL EQUATIONS//PROPERLY DISCONTINUOUS ACTION
15781 623 BRAID GROUP//BRAID GROUPS//GARSIDE GROUPS
15832 620 SIGMA INVARIANTS//INTEGRAL SYMPLECTIC MATRIX//COHOMOLOGICAL FINITENESS CONDITIONS
16457 588 BOUNDARY RIGIDITY//HARMONIC MANIFOLDS//GEODESIC RAY TRANSFORM
17126 552 FREE BURNSIDE GROUP//SELF SIMILAR GROUPS//GRIGORCHUK GROUP
17479 534 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//REAL PROJECTIVE STRUCTURE
18748 472 GROUP OF HOMEOMORPHISMS//ERLANGEN PROGRAM//LEAF PRESERVING DIFFEOMORPHISM
21478 359 CYCLICALLY PRESENTED GROUP//EQUATIONS OVER GROUPS//FREIHEITSSATZ
24228 267 APOLLONIAN CIRCLES//APPROXIMATE GROUPS//BROCARD ANGLE
31912 116 LIGHTS OUT//LIGHTS OUT PUZZLE//SIGMA GAME
33879 83 GOLOD SHAFAREVICH//FINITELY PRESENTED ALGEBRAS//INFINITE DIHEDRAL GROUP

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 HYPERBOLIC 3 MANIFOLD Author keyword 171 96% 0% 52
2 DEHN SURGERY Author keyword 170 80% 1% 105
3 GROUPS GEOMETRY AND DYNAMICS Journal 148 59% 1% 164
4 HEEGAARD SPLITTING Author keyword 146 88% 0% 68
5 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION Journal 120 32% 2% 312
6 GEOMETRIAE DEDICATA Journal 112 19% 4% 540
7 MAPPING CLASS GROUP Author keyword 100 56% 1% 123
8 CURVE COMPLEX Author keyword 99 93% 0% 38
9 ALGEBRAIC AND GEOMETRIC TOPOLOGY Journal 96 29% 2% 281
10 MAPPING CLASS GROUPS Author keyword 94 77% 0% 64

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 HYPERBOLIC 3 MANIFOLD 171 96% 0% 52 Search HYPERBOLIC+3+MANIFOLD Search HYPERBOLIC+3+MANIFOLD
2 DEHN SURGERY 170 80% 1% 105 Search DEHN+SURGERY Search DEHN+SURGERY
3 HEEGAARD SPLITTING 146 88% 0% 68 Search HEEGAARD+SPLITTING Search HEEGAARD+SPLITTING
4 MAPPING CLASS GROUP 100 56% 1% 123 Search MAPPING+CLASS+GROUP Search MAPPING+CLASS+GROUP
5 CURVE COMPLEX 99 93% 0% 38 Search CURVE+COMPLEX Search CURVE+COMPLEX
6 MAPPING CLASS GROUPS 94 77% 0% 64 Search MAPPING+CLASS+GROUPS Search MAPPING+CLASS+GROUPS
7 3 MANIFOLD 89 57% 1% 106 Search 3+MANIFOLD Search 3+MANIFOLD
8 CONJUGACY SEPARABLE 86 96% 0% 26 Search CONJUGACY+SEPARABLE Search CONJUGACY+SEPARABLE
9 HEEGAARD SPLITTINGS 85 100% 0% 26 Search HEEGAARD+SPLITTINGS Search HEEGAARD+SPLITTINGS
10 CONJUGACY PROBLEM 82 77% 0% 55 Search CONJUGACY+PROBLEM Search CONJUGACY+PROBLEM

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 INCOMPRESSIBLE SURFACES 376 97% 1% 105
2 3 MANIFOLDS 370 39% 5% 746
3 KLEINIAN GROUPS 251 68% 1% 218
4 DEHN SURGERY 219 86% 1% 113
5 HEEGAARD SPLITTINGS 185 91% 1% 78
6 HYPERBOLIC 3 MANIFOLDS 159 71% 1% 129
7 ARTIN GROUPS 145 78% 1% 97
8 TEICHMULLER SPACE 129 64% 1% 126
9 HYPERBOLIC GROUPS 121 60% 1% 131
10 MAPPING CLASS GROUP 118 66% 1% 110

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GROUPS GEOMETRY AND DYNAMICS 148 59% 1% 164
2 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 120 32% 2% 312
3 GEOMETRIAE DEDICATA 112 19% 4% 540
4 ALGEBRAIC AND GEOMETRIC TOPOLOGY 96 29% 2% 281
5 GEOMETRY & TOPOLOGY 79 29% 2% 227
6 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 70 20% 2% 310
7 TOPOLOGY 67 21% 2% 278
8 COMMENTARII MATHEMATICI HELVETICI 51 19% 2% 238
9 JOURNAL OF GROUP THEORY 47 22% 1% 185
10 GEOMETRIC AND FUNCTIONAL ANALYSIS 36 18% 1% 180

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Automorphisms of free groups and outer space 2002 49 74 93%
Open problems in dynamics and related fields 2007 13 146 46%
Khintchine's singular Diophantine systems and their applications 2010 3 26 58%
Decision problems for groups and semigroups 2000 7 11 91%
A further study on non-abelian phase spaces: Left-symmetric algebraic approach and related geometry 2006 4 23 65%
Homotopy equivalences of 3-manifolds and deformation theory of Kleinian Groups 2004 1 48 88%
Geometrization of 3-orbifolds of cyclic type - Introduction 2001 2 48 85%
New progress in the theory of homogeneous flows 1997 2 62 90%
Statistical mechanics of 2+1 gravity from Riemann zeta function and Alexander polynomial: exact results 2001 3 40 50%
Boundary conformal field theories, limit sets of Kleinian groups and holography 2000 7 39 38%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 MATH MATH EDUC 48 77% 0.2% 33
2 MATH LATP 33 100% 0.1% 13
3 MAT L 3 17 100% 0.1% 8
4 MATH NICOLAS O ME 13 24% 0.3% 46
5 UMR 6139 12 24% 0.3% 43
6 UMR 5584 10 17% 0.4% 52
7 MEHMAT 10 58% 0.1% 11
8 IS MATH 8 100% 0.0% 5
9 TOPOL 8 21% 0.2% 32
10 UMR 5580 7 21% 0.2% 30

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000020907 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VIRTUAL KNOT//JONES POLYNOMIAL
2 0.0000011951 TOPOLOGY AND ITS APPLICATIONS//HYPERSPACE//CONTINUUM
3 0.0000011248 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//DOMINATED SPLITTING
4 0.0000010951 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ANALYSIS ON FRACTALS
5 0.0000009540 SIEGEL MODULAR FORMS//MATEMAT FUNDAMENTALES//REGULAR MAP
6 0.0000007185 MATH INVEST CRYSTALLOG MINERAL PETROG//DIHEDRAL F TILINGS//PLATINUM GRP ELEMENTS ORE GENESIS
7 0.0000006470 INTEGRAL GROUP RING//POLYNOMIAL IDENTITIES//CODIMENSIONS
8 0.0000006234 FINITE GROUP//JOURNAL OF ALGEBRA//P NILPOTENT GROUP
9 0.0000006188 HAUSDORFF DIMENSION//COMBINATORICS ON WORDS//OPEN SET CONDITION
10 0.0000005806 JOURNAL OF OPERATOR THEORY//C ALGEBRAS//C ALGEBRA