Class information for:
Level 1: MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP

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
14966 1                   MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP 766

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MAPPING CLASS GROUP authKW 1019486 12% 27% 93
2 JOHNSON HOMOMORPHISM authKW 625807 2% 89% 17
3 TORELLI GROUP authKW 553131 3% 61% 22
4 HOMOLOGICAL STABILITY authKW 333259 1% 90% 9
5 REPRESENTATION STABILITY authKW 256349 1% 69% 9
6 FI MODULES authKW 211592 1% 86% 6
7 NONORIENTABLE SURFACE authKW 171653 1% 38% 11
8 ANDREADAKIS JOHNSON FILTRATION authKW 164573 1% 100% 4
9 AUTOMORPHISM GROUP OF A FREE GROUP authKW 164573 1% 100% 4
10 IA AUTOMORPHISM GROUP authKW 164573 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 41898 99% 0% 762
2 Mathematics, Applied 634 13% 0% 96
3 Physics, Mathematical -2 0% 0% 2
4 Physics, Nuclear -4 0% 0% 1
5 Physics, Particles & Fields -6 0% 0% 1
6 Mechanics -7 0% 0% 1
7 Physics, Multidisciplinary -13 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PERFORMANCE COMP STOCHAST INFORMAT PROC 52895 0% 43% 3
2 CNRS URA 168 41143 0% 100% 1
3 CNRSURA 168 41143 0% 100% 1
4 FB 08 PHYS MATH INFORMAT 41143 0% 100% 1
5 HIGHER ECON INDEPENDENT 41143 0% 100% 1
6 JCL 41143 0% 100% 1
7 JEAN ALEXANDRE DIEUDONN 41143 0% 100% 1
8 KORTWEG VRIES 41143 0% 100% 1
9 MATH WESTFALI EN 41143 0% 100% 1
10 MATHUFR 7539CNRS 41143 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ALGEBRAIC AND GEOMETRIC TOPOLOGY 43708 5% 3% 36
2 JOURNAL OF TOPOLOGY 16572 2% 3% 12
3 GEOMETRY & TOPOLOGY 14392 2% 2% 18
4 TOPOLOGY 13905 3% 2% 21
5 NEW YORK JOURNAL OF MATHEMATICS 12582 1% 3% 11
6 INVENTIONES MATHEMATICAE 6248 3% 1% 22
7 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 6127 3% 1% 22
8 JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO 6088 1% 4% 4
9 QUARTERLY JOURNAL OF MATHEMATICS 5481 2% 1% 14
10 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 5454 2% 1% 13

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MAPPING CLASS GROUP 1019486 12% 27% 93 Search MAPPING+CLASS+GROUP Search MAPPING+CLASS+GROUP
2 JOHNSON HOMOMORPHISM 625807 2% 89% 17 Search JOHNSON+HOMOMORPHISM Search JOHNSON+HOMOMORPHISM
3 TORELLI GROUP 553131 3% 61% 22 Search TORELLI+GROUP Search TORELLI+GROUP
4 HOMOLOGICAL STABILITY 333259 1% 90% 9 Search HOMOLOGICAL+STABILITY Search HOMOLOGICAL+STABILITY
5 REPRESENTATION STABILITY 256349 1% 69% 9 Search REPRESENTATION+STABILITY Search REPRESENTATION+STABILITY
6 FI MODULES 211592 1% 86% 6 Search FI+MODULES Search FI+MODULES
7 NONORIENTABLE SURFACE 171653 1% 38% 11 Search NONORIENTABLE+SURFACE Search NONORIENTABLE+SURFACE
8 ANDREADAKIS JOHNSON FILTRATION 164573 1% 100% 4 Search ANDREADAKIS+JOHNSON+FILTRATION Search ANDREADAKIS+JOHNSON+FILTRATION
9 AUTOMORPHISM GROUP OF A FREE GROUP 164573 1% 100% 4 Search AUTOMORPHISM+GROUP+OF+A+FREE+GROUP Search AUTOMORPHISM+GROUP+OF+A+FREE+GROUP
10 IA AUTOMORPHISM GROUP 164573 1% 100% 4 Search IA+AUTOMORPHISM+GROUP Search IA+AUTOMORPHISM+GROUP

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 15913 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
2 1037 GROUPS GEOMETRY AND DYNAMICS//HYPERBOLIC GROUPS//RELATIVELY HYPERBOLIC GROUPS
3 8084 GROMOV WITTEN INVARIANTS//HURWITZ NUMBERS//HODGE INTEGRALS
4 11788 OPERADS//STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA
5 38562 HURWITZ ACTION//3D LEMNISCATES//BIFOCAL CURVE
6 15676 HURWITZ SPACES//BRAID MOVES//HILBERTIAN FIELDS
7 10985 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY
8 17596 WITT EQUIVALENCE//WITT RING//DEFINABLE VALUATIONS
9 10052 HOPF CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY//CYCLIC COHOMOLOGY
10 22540 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE

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