Class information for:
Level 1: NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14508 765 18.8 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
2047 2             NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE 5355
14508 1                   NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP 765

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 NOVIKOV ALGEBRA authKW 881729 4% 82% 27
2 LEFT SYMMETRIC ALGEBRA authKW 681103 3% 74% 23
3 ALMOST BIEBERBACH GROUP authKW 319313 1% 100% 8
4 CLIFFORD KLEIN FORM authKW 279399 1% 100% 7
5 PROPER ACTION authKW 256316 2% 38% 17
6 AFFINE MANIFOLD authKW 248690 1% 69% 9
7 REAL PROJECTIVE STRUCTURE authKW 244472 1% 88% 7
8 HYPERBOLIC AUTOMORPHISM authKW 232223 1% 73% 8
9 PROPERLY DISCONTINUOUS ACTION authKW 232223 1% 73% 8
10 ANOSOV DIFFEOMORPHISM authKW 224835 2% 43% 13

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 34653 90% 0% 692
2 Mathematics, Applied 1608 19% 0% 146
3 Physics, Mathematical 389 7% 0% 53
4 Logic 7 0% 0% 2
5 Physics, Particles & Fields 2 2% 0% 12
6 Multidisciplinary Sciences 2 1% 0% 4
7 Physics, Multidisciplinary 0 2% 0% 17
8 Mechanics -2 1% 0% 5
9 Physics, Nuclear -3 0% 0% 2
10 Computer Science, Interdisciplinary Applications -4 0% 0% 1

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 MATH UA 1407 CNRS GDR 144 79828 0% 100% 2
2 A GROTHENDIECK 39914 0% 100% 1
3 BRANCH RUSSIAN SCI 39914 0% 100% 1
4 EQUIPE TOPOL DYNAMUMR 8628 39914 0% 100% 1
5 F NELUMR CNRS 7249 39914 0% 100% 1
6 HIGHER TEACHERSS TRAINING MAROUA 39914 0% 100% 1
7 MATH ORSAYEQUIPE TOPOL DYNAM 39914 0% 100% 1
8 ORSAY EQUIPE TOPOL DYNAM 39914 0% 100% 1
9 SCI GUELIZ 39914 0% 100% 1
10 SOBOLEV MATH SIBERIAN 39914 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 GEOMETRIAE DEDICATA 36067 7% 2% 52
2 JOURNAL OF DIFFERENTIAL GEOMETRY 26964 4% 2% 34
3 JOURNAL OF LIE THEORY 17116 2% 2% 18
4 INTERNATIONAL JOURNAL OF MATHEMATICS 13386 3% 1% 23
5 GEOMETRY & TOPOLOGY 4589 1% 1% 10
6 COMMUNICATIONS IN ALGEBRA 4188 4% 0% 32
7 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 3146 4% 0% 27
8 ANNALES DE L INSTITUT FOURIER 2629 2% 1% 12
9 JOURNAL OF ALGEBRA 2537 4% 0% 29
10 JOURNAL OF GEOMETRY AND PHYSICS 2230 2% 0% 12

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 NOVIKOV ALGEBRA 881729 4% 82% 27 Search NOVIKOV+ALGEBRA Search NOVIKOV+ALGEBRA
2 LEFT SYMMETRIC ALGEBRA 681103 3% 74% 23 Search LEFT+SYMMETRIC+ALGEBRA Search LEFT+SYMMETRIC+ALGEBRA
3 ALMOST BIEBERBACH GROUP 319313 1% 100% 8 Search ALMOST+BIEBERBACH+GROUP Search ALMOST+BIEBERBACH+GROUP
4 CLIFFORD KLEIN FORM 279399 1% 100% 7 Search CLIFFORD+KLEIN+FORM Search CLIFFORD+KLEIN+FORM
5 PROPER ACTION 256316 2% 38% 17 Search PROPER+ACTION Search PROPER+ACTION
6 AFFINE MANIFOLD 248690 1% 69% 9 Search AFFINE+MANIFOLD Search AFFINE+MANIFOLD
7 REAL PROJECTIVE STRUCTURE 244472 1% 88% 7 Search REAL+PROJECTIVE+STRUCTURE Search REAL+PROJECTIVE+STRUCTURE
8 HYPERBOLIC AUTOMORPHISM 232223 1% 73% 8 Search HYPERBOLIC+AUTOMORPHISM Search HYPERBOLIC+AUTOMORPHISM
9 PROPERLY DISCONTINUOUS ACTION 232223 1% 73% 8 Search PROPERLY+DISCONTINUOUS+ACTION Search PROPERLY+DISCONTINUOUS+ACTION
10 ANOSOV DIFFEOMORPHISM 224835 2% 43% 13 Search ANOSOV+DIFFEOMORPHISM Search ANOSOV+DIFFEOMORPHISM

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 CHARETTE, V , DRUMM, TA , GOLDMAN, WM , (2016) PROPER AFFINE DEFORMATIONS OF THE ONE-HOLED TORUS.TRANSFORMATION GROUPS. VOL. 21. ISSUE 4. P. 953 -1002 17 94% 0
2 COOPER, D , LONG, DD , TILLMANN, S , (2015) ON CONVEX PROJECTIVE MANIFOLDS AND CUSPS.ADVANCES IN MATHEMATICS. VOL. 277. ISSUE . P. 181 -251 18 82% 2
3 CHARETTE, V , DRUMM, TA , GOLDMAN, WM , (2010) AFFINE DEFORMATIONS OF A THREE-HOLED SPHERE.GEOMETRY & TOPOLOGY. VOL. 14. ISSUE 3. P. 1355-1382 17 94% 4
4 DERE, J , (2016) A NEW METHOD FOR CONSTRUCTING ANOSOV LIE ALGEBRAS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 2. P. 1497 -1516 14 93% 1
5 DANCIGER, J , GUERITAUD, F , KASSEL, F , (2016) GEOMETRY AND TOPOLOGY OF COMPLETE LORENTZ SPACETIMES OF CONSTANT CURVATURE.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 1. P. 1 -56 16 76% 2
6 DEKIMPE, K , DERE, J , (2015) EXISTENCE OF ANOSOV DIFFEOMORPHISMS ON INFRA-NILMANIFOLDS MODELED ON FREE NILPOTENT LIE GROUPS.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. VOL. 46. ISSUE 1. P. 165 -189 15 94% 0
7 DEKIMPE, K , PETROSYAN, N , (2015) CRYSTALLOGRAPHIC ACTIONS ON CONTRACTIBLE ALGEBRAIC MANIFOLDS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 4. P. 2765 -2786 14 93% 1
8 DANCIGER, J , GUERITAUD, F , KASSEL, F , (2016) FUNDAMENTAL DOMAINS FOR FREE GROUPS ACTING ON ANTI-DE SITTER 3-SPACE.MATHEMATICAL RESEARCH LETTERS. VOL. 23. ISSUE 3. P. 735 -770 13 100% 0
9 THOLOZAN, N , (2015) COMPLETENESS OF CERTAIN PSEUDO-RIEMANNIAN (LOCALLY) SYMMETRIC SPACES.ANNALES DE L INSTITUT FOURIER. VOL. 65. ISSUE 5. P. 1921 -1952 15 88% 0
10 GOLDMAN, WM , LABOURIE, F , MARGULIS, G , (2009) PROPER AFFINE ACTIONS AND GEODESIC FLOWS OF HYPERBOLIC SURFACES.ANNALS OF MATHEMATICS. VOL. 170. ISSUE 3. P. 1051 -1083 17 85% 7

Classes with closest relation at Level 1


Rank Class id link
1 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
2 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
3 11993 LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA
4 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
5 24886 AFFINE DIFFERENTIAL GEOMETRY//AFFINE HYPERSPHERES//AFFINE SPHERE
6 17175 GEODESIC CONNECTEDNESS//LIGHT RAYS//LORENTZIAN MANIFOLDS
7 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
8 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW
9 17793 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
10 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA

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