Class information for:
Level 1: 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION

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
1207 2             JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 9493
6454 1                   4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION 1511

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 4 MANIFOLD authKW 829371 5% 54% 73
2 SEIBERG WITTEN INVARIANTS authKW 814687 3% 78% 50
3 LEFSCHETZ FIBRATION authKW 565454 3% 66% 41
4 SYMPLECTIC 4 MANIFOLDS authKW 317236 1% 89% 17
5 SEIBERG WITTEN EQUATIONS authKW 250267 1% 67% 18
6 FOUR MANIFOLD authKW 242863 1% 61% 19
7 DONALDSON INVARIANTS authKW 240459 1% 82% 14
8 EXOTIC R 4 authKW 187709 1% 100% 9
9 EXOTIC SMOOTH STRUCTURES authKW 168936 1% 90% 9
10 S COBORDISM authKW 148311 1% 89% 8

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 70471 92% 0% 1390
2 Mathematics, Applied 3093 19% 0% 285
3 Physics, Mathematical 184 4% 0% 57
4 Physics, Particles & Fields 30 2% 0% 37
5 Physics, Multidisciplinary 11 3% 0% 47
6 Area Studies 1 0% 0% 3
7 Logic 0 0% 0% 1
8 History & Philosophy of Science 0 0% 0% 2
9 Humanities, Multidisciplinary -1 0% 0% 1
10 Astronomy & Astrophysics -1 1% 0% 20

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGERATED HUMAN STUDIES 20857 0% 100% 1
2 KWANGJING GU 20857 0% 100% 1
3 MEKATRON MUHENDISLIGI 20857 0% 100% 1
4 MATH 18284 41% 0% 626
5 HAUSDORFF MATH HIM 10427 0% 50% 1
6 IST MATEMAT F ENRIQUES 10427 0% 50% 1
7 PURE MATH 5045 2% 1% 27
8 CIRGET 4631 0% 11% 2
9 GEOMETRY TOPOL 4354 0% 3% 6
10 FEZA GURSEY 3825 0% 6% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL GEOMETRY 87093 6% 5% 85
2 GEOMETRY & TOPOLOGY 60937 3% 6% 52
3 TOPOLOGY 55692 4% 5% 59
4 MATHEMATICAL RESEARCH LETTERS 45689 4% 3% 63
5 JOURNAL OF TOPOLOGY 39445 2% 7% 26
6 TOPOLOGY AND ITS APPLICATIONS 35849 7% 2% 104
7 ALGEBRAIC AND GEOMETRIC TOPOLOGY 22122 2% 3% 36
8 COMMENTARII MATHEMATICI HELVETICI 11816 2% 2% 27
9 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 10272 2% 2% 30
10 PACIFIC JOURNAL OF MATHEMATICS 9852 3% 1% 47

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 4 MANIFOLD 829371 5% 54% 73 Search 4+MANIFOLD Search 4+MANIFOLD
2 SEIBERG WITTEN INVARIANTS 814687 3% 78% 50 Search SEIBERG+WITTEN+INVARIANTS Search SEIBERG+WITTEN+INVARIANTS
3 LEFSCHETZ FIBRATION 565454 3% 66% 41 Search LEFSCHETZ+FIBRATION Search LEFSCHETZ+FIBRATION
4 SYMPLECTIC 4 MANIFOLDS 317236 1% 89% 17 Search SYMPLECTIC+4+MANIFOLDS Search SYMPLECTIC+4+MANIFOLDS
5 SEIBERG WITTEN EQUATIONS 250267 1% 67% 18 Search SEIBERG+WITTEN+EQUATIONS Search SEIBERG+WITTEN+EQUATIONS
6 FOUR MANIFOLD 242863 1% 61% 19 Search FOUR+MANIFOLD Search FOUR+MANIFOLD
7 DONALDSON INVARIANTS 240459 1% 82% 14 Search DONALDSON+INVARIANTS Search DONALDSON+INVARIANTS
8 EXOTIC R 4 187709 1% 100% 9 Search EXOTIC+R+4 Search EXOTIC+R+4
9 EXOTIC SMOOTH STRUCTURES 168936 1% 90% 9 Search EXOTIC+SMOOTH+STRUCTURES Search EXOTIC+SMOOTH+STRUCTURES
10 S COBORDISM 148311 1% 89% 8 Search S+COBORDISM Search S+COBORDISM

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 9896 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
2 32227 SIMPLICIAL VOLUME//RELATIVE BOUNDED COHOMOLOGY//2N MANIFOLDS
3 17266 LINK CONCORDANCE//DIFFERENTIAL GEOMETRY//LINK HOMOTOPY
4 15616 SURFACES OF GENERAL TYPE//LEHRSTUHL MATH 8//SURFACE OF GENERAL TYPE
5 22176 FOLD SINGULARITY//FOLD MAP//STEIN FACTORIZATION
6 5810 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY
7 21915 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
8 12096 SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS
9 6508 SOLVMANIFOLD//VAISMAN MANIFOLD//TWISTOR SPACES
10 1442 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD

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