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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14464 768 18.9 35%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
953 2             MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 10826
14464 1                   MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP 768

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MAPPING CLASS GROUP authKW 1006711 12% 28% 91
2 JOHNSON HOMOMORPHISM authKW 604739 2% 89% 17
3 TORELLI GROUP authKW 467727 3% 59% 20
4 HOMOLOGICAL STABILITY authKW 318066 1% 100% 8
5 AUTOMORPHISM GROUPS OF FREE GROUPS authKW 212038 1% 67% 8
6 NONORIENTABLE SURFACE authKW 171799 1% 39% 11
7 AUTOMORPHISM GROUP OF A FREE GROUP authKW 159033 1% 100% 4
8 IA AUTOMORPHISM GROUP authKW 159033 1% 100% 4
9 MORITA MUMFORD CLASSES authKW 159033 1% 100% 4
10 ANABELIAN GEOMETRY authKW 143125 1% 60% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 41440 99% 0% 757
2 Mathematics, Applied 648 13% 0% 97
3 Physics, Mathematical -1 1% 0% 4
4 Mathematics, Interdisciplinary Applications -2 0% 0% 1
5 Computer Science, Theory & Methods -4 0% 0% 1
6 Infectious Diseases -5 0% 0% 1
7 Physics, Particles & Fields -6 0% 0% 1
8 Mechanics -7 0% 0% 1
9 Radiology, Nuclear Medicine & Medical Imaging -7 0% 0% 2
10 Physics, Multidisciplinary -8 1% 0% 4

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FRONTIER MEDIA SCI 53010 0% 67% 2
2 CNRS URA 168 39758 0% 100% 1
3 CNRSURA 168 39758 0% 100% 1
4 ENGN DESIGN LIBERAL ARTS SCI 39758 0% 100% 1
5 FB 08 PHYS MATH INFORMAT 39758 0% 100% 1
6 HIGHER ECON INDEPENDENT 39758 0% 100% 1
7 JCL 39758 0% 100% 1
8 JEAN ALEXANDRE DIEUDONN 39758 0% 100% 1
9 KORTWEG VRIES 39758 0% 100% 1
10 MATH WESTFALI EN 39758 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ALGEBRAIC AND GEOMETRIC TOPOLOGY 32319 4% 3% 31
2 TOPOLOGY 16121 3% 2% 23
3 JOURNAL OF TOPOLOGY 11884 1% 3% 10
4 GEOMETRY & TOPOLOGY 10300 2% 2% 15
5 NEW YORK JOURNAL OF MATHEMATICS 8903 1% 2% 9
6 INVENTIONES MATHEMATICAE 7285 3% 1% 24
7 JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO 5882 1% 4% 4
8 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 5341 2% 1% 13
9 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 5309 3% 1% 22
10 HOMOLOGY HOMOTOPY AND APPLICATIONS 5252 1% 2% 7

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MAPPING CLASS GROUP 1006711 12% 28% 91 Search MAPPING+CLASS+GROUP Search MAPPING+CLASS+GROUP
2 JOHNSON HOMOMORPHISM 604739 2% 89% 17 Search JOHNSON+HOMOMORPHISM Search JOHNSON+HOMOMORPHISM
3 TORELLI GROUP 467727 3% 59% 20 Search TORELLI+GROUP Search TORELLI+GROUP
4 HOMOLOGICAL STABILITY 318066 1% 100% 8 Search HOMOLOGICAL+STABILITY Search HOMOLOGICAL+STABILITY
5 AUTOMORPHISM GROUPS OF FREE GROUPS 212038 1% 67% 8 Search AUTOMORPHISM+GROUPS+OF+FREE+GROUPS Search AUTOMORPHISM+GROUPS+OF+FREE+GROUPS
6 NONORIENTABLE SURFACE 171799 1% 39% 11 Search NONORIENTABLE+SURFACE Search NONORIENTABLE+SURFACE
7 AUTOMORPHISM GROUP OF A FREE GROUP 159033 1% 100% 4 Search AUTOMORPHISM+GROUP+OF+A+FREE+GROUP Search AUTOMORPHISM+GROUP+OF+A+FREE+GROUP
8 IA AUTOMORPHISM GROUP 159033 1% 100% 4 Search IA+AUTOMORPHISM+GROUP Search IA+AUTOMORPHISM+GROUP
9 MORITA MUMFORD CLASSES 159033 1% 100% 4 Search MORITA+MUMFORD+CLASSES Search MORITA+MUMFORD+CLASSES
10 ANABELIAN GEOMETRY 143125 1% 60% 6 Search ANABELIAN+GEOMETRY Search ANABELIAN+GEOMETRY

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 PARIS, L , SZEPIETOWSKI, B , (2015) A PRESENTATION FOR THE MAPPING CLASS GROUP OF A NONORIENTABLE SURFACE.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 143. ISSUE 3. P. 503 -566 17 94% 1
2 TILLMANN, U , (2012) SPACES OF GRAPHS AND SURFACES: ON THE WORK OF SOREN GALATIUS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 49. ISSUE 1. P. 73-90 20 83% 0
3 RANDAL-WILLIAMS, O , (2016) RESOLUTIONS OF MODULI SPACES AND HOMOLOGICAL STABILITY.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 18. ISSUE 1. P. 1 -81 14 100% 1
4 CHURCH, T , PUTMAN, A , (2015) GENERATING THE JOHNSON FILTRATION.GEOMETRY & TOPOLOGY. VOL. 19. ISSUE 4. P. 2217 -2255 16 89% 0
5 IIJIMA, Y , (2015) GALOIS ACTION ON MAPPING CLASS GROUPS.HIROSHIMA MATHEMATICAL JOURNAL. VOL. 45. ISSUE 2. P. 207 -230 16 84% 0
6 TAKAO, N , (2012) BRAID MONODROMIES ON PROPER CURVES AND PRO-L GALOIS REPRESENTATIONS.JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. VOL. 11. ISSUE 1. P. 161-188 15 94% 2
7 SATOH, T , (2015) ON THE BASIS-CONJUGATING AUTOMORPHISM GROUPS OF FREE GROUPS AND FREE METABELIAN GROUPS.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 158. ISSUE 1. P. 83 -109 16 80% 0
8 MOCHIZUKI, S , (2010) ON THE COMBINATORIAL CUSPIDALIZATION OF HYPERBOLIC CURVES.OSAKA JOURNAL OF MATHEMATICS. VOL. 47. ISSUE 3. P. 651-715 15 94% 2
9 MILLER, J , PALMER, M , (2015) SCANNING FOR ORIENTED CONFIGURATION SPACES.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 17. ISSUE 1. P. 35 -66 14 88% 0
10 RANDAL-WILLIAMS, O , (2014) HOMOLOGY OF THE MODULI SPACES AND MAPPING CLASS GROUPS OF FRAMED, R-SPIN AND PIN SURFACES.JOURNAL OF TOPOLOGY. VOL. 7. ISSUE 1. P. 155 -186 13 93% 1

Classes with closest relation at Level 1


Rank Class id link
1 26204 FREE BURNSIDE GROUP//NORMAL AUTOMORPHISM//N PERIODIC PRODUCT
2 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
3 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
4 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
5 7151 GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS
6 15085 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
7 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
8 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
9 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS
10 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL

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