Class information for:
Level 1: HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
106 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH 74336
1026 2             MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY 10542
1442 1                   HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD 2667

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HEEGAARD SPLITTING authKW 980980 4% 86% 96
2 DEHN SURGERY authKW 939359 4% 74% 107
3 3 MANIFOLD authKW 844991 6% 45% 158
4 HYPERBOLIC 3 MANIFOLD authKW 525686 3% 64% 69
5 DEHN FILLING authKW 439887 2% 85% 44
6 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS journal 439141 10% 14% 260
7 HYPERBOLIC KNOT authKW 364582 1% 86% 36
8 INCOMPRESSIBLE SURFACE authKW 359441 1% 82% 37
9 NORMAL SURFACE authKW 307939 1% 74% 35
10 TWISTED ALEXANDER POLYNOMIAL authKW 292251 1% 85% 29

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 142418 98% 0% 2622
2 Mathematics, Applied 6213 20% 0% 534
3 Physics, Mathematical 2 1% 0% 26
4 Logic -0 0% 0% 1
5 Mathematics, Interdisciplinary Applications -1 0% 0% 10
6 Statistics & Probability -3 0% 0% 9
7 Multidisciplinary Sciences -4 0% 0% 2
8 Computer Science, Theory & Methods -5 0% 0% 10
9 Computer Science, Hardware & Architecture -6 0% 0% 1
10 Computer Science, Software Engineering -8 0% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH MATH EDUC 273070 1% 66% 35
2 IS MATH 70893 0% 100% 6
3 MATH 33989 42% 0% 1133
4 UMR 5580 16169 1% 10% 14
5 LAMA MATH 15753 0% 67% 2
6 SMGS 15188 0% 43% 3
7 CASIL 11816 0% 100% 1
8 CIENCIAS SECC MATEMAT 11816 0% 100% 1
9 CLERMONT UNIV AUVERGNE 11816 0% 100% 1
10 COMP TOPOL ALGEBRA 11816 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 439141 10% 14% 260
2 ALGEBRAIC AND GEOMETRIC TOPOLOGY 248061 6% 13% 160
3 TOPOLOGY AND ITS APPLICATIONS 140216 10% 4% 273
4 TOPOLOGY 83521 4% 7% 96
5 GEOMETRY & TOPOLOGY 49039 2% 7% 62
6 PACIFIC JOURNAL OF MATHEMATICS 42189 5% 3% 129
7 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 41081 2% 7% 47
8 JOURNAL OF TOPOLOGY 27781 1% 8% 29
9 OSAKA JOURNAL OF MATHEMATICS 26456 2% 3% 65
10 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 22697 3% 2% 79

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HEEGAARD SPLITTING 980980 4% 86% 96 Search HEEGAARD+SPLITTING Search HEEGAARD+SPLITTING
2 DEHN SURGERY 939359 4% 74% 107 Search DEHN+SURGERY Search DEHN+SURGERY
3 3 MANIFOLD 844991 6% 45% 158 Search 3+MANIFOLD Search 3+MANIFOLD
4 HYPERBOLIC 3 MANIFOLD 525686 3% 64% 69 Search HYPERBOLIC+3+MANIFOLD Search HYPERBOLIC+3+MANIFOLD
5 DEHN FILLING 439887 2% 85% 44 Search DEHN+FILLING Search DEHN+FILLING
6 HYPERBOLIC KNOT 364582 1% 86% 36 Search HYPERBOLIC+KNOT Search HYPERBOLIC+KNOT
7 INCOMPRESSIBLE SURFACE 359441 1% 82% 37 Search INCOMPRESSIBLE+SURFACE Search INCOMPRESSIBLE+SURFACE
8 NORMAL SURFACE 307939 1% 74% 35 Search NORMAL+SURFACE Search NORMAL+SURFACE
9 TWISTED ALEXANDER POLYNOMIAL 292251 1% 85% 29 Search TWISTED+ALEXANDER+POLYNOMIAL Search TWISTED+ALEXANDER+POLYNOMIAL
10 CYCLIC BRANCHED COVERING 275418 1% 90% 26 Search CYCLIC+BRANCHED+COVERING Search CYCLIC+BRANCHED+COVERING

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1


rank cluster_id2 link
1 3072 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL
2 9896 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
3 16511 COMPLEX HYPERBOLIC GEOMETRY//THURSTON GEOMETRIES//JORGENSENS INEQUALITY
4 32227 SIMPLICIAL VOLUME//RELATIVE BOUNDED COHOMOLOGY//2N MANIFOLDS
5 17266 LINK CONCORDANCE//DIFFERENTIAL GEOMETRY//LINK HOMOTOPY
6 22288 CYCLICALLY PRESENTED GROUP//FIBONACCI GROUP//GENERALIZED TRIANGLE GROUP
7 1037 GROUPS GEOMETRY AND DYNAMICS//HYPERBOLIC GROUPS//RELATIVELY HYPERBOLIC GROUPS
8 25221 MCSHANES IDENTITY//JORGENSEN THEORY//MCSHANE IDENTITY
9 10252 BRANCHED SURFACE//ANOSOV FLOW//GROUP OF HOMEOMORPHISMS
10 30669 SPATIAL GRAPH//INTRINSICALLY KNOTTED//INTRINSICALLY LINKED

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