Class information for:
Level 2: ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2083 5216 23.0 39%


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
2083 2             ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION 5216
10155 1                   ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE 1087
12048 1                   SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP 936
13618 1                   ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES 824
14130 1                   NONCOMMUTATIVE GEOMETRY//NONCOMMUTATIVE RESIDUE//SPECTRAL TRIPLE 790
16652 1                   TWISTED K THEORY//GERBE//DIRAC COHOMOLOGY 643
18353 1                   ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC 555
22454 1                   MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION 381

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 ASYMPTOTIC DIMENSION authKW 307599 1% 91% 58
2 COARSE GEOMETRY authKW 216405 1% 86% 43
3 ANALYTIC TORSION authKW 201199 1% 90% 38
4 NONCOMMUTATIVE GEOMETRY authKW 190938 3% 24% 135
5 BAUM CONNES CONJECTURE authKW 189168 1% 79% 41
6 TWISTED K THEORY authKW 129272 1% 82% 27
7 MATHEMATICS WoSSC 127497 67% 1% 3490
8 MULTIPLE SINE FUNCTION authKW 123830 0% 92% 23
9 NOVIKOV CONJECTURE authKW 116230 0% 83% 24
10 INDEX THEORY authKW 109444 1% 37% 51

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 127497 67% 1% 3490
2 Physics, Mathematical 25481 20% 0% 1038
3 Mathematics, Applied 8956 17% 0% 907
4 Physics, Particles & Fields 3998 10% 0% 517
5 Physics, Nuclear 556 4% 0% 202
6 Physics, Multidisciplinary 459 6% 0% 316
7 Astronomy & Astrophysics 289 5% 0% 239
8 Multidisciplinary Sciences -0 0% 0% 12
9 Medieval & Renaissance Studies -1 0% 0% 1
10 Mechanics -5 1% 0% 42

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 54355 38% 0% 1996
2 INSITUT ANAL 17557 0% 100% 3
3 COURANT HIGHER ORDER STRUCT 14801 0% 28% 9
4 HBEREICH MATH 17 13357 0% 19% 12
5 DEP MATH COMP 11705 0% 100% 2
6 FEDERAT RECH FR684 11705 0% 100% 2
7 HBEREICH MATH WERPUNKT ALGEBRA ZAHLENTHEO 11705 0% 100% 2
8 MATH UMR 11705 0% 100% 2
9 RANDALL 3444B 11705 0% 100% 2
10 SCI MED STUDIES MALAZ 11705 0% 100% 2

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 JOURNAL OF NONCOMMUTATIVE GEOMETRY 86899 1% 24% 63
2 JOURNAL OF GEOMETRY AND PHYSICS 71571 3% 7% 177
3 K-THEORY 60730 1% 16% 66
4 COMMUNICATIONS IN MATHEMATICAL PHYSICS 29675 4% 3% 204
5 JOURNAL OF K-THEORY 27095 1% 13% 35
6 JOURNAL OF FUNCTIONAL ANALYSIS 26438 3% 3% 172
7 JOURNAL OF DIFFERENTIAL GEOMETRY 18130 1% 4% 73
8 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 15068 0% 13% 20
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 13333 3% 2% 140
10 ADVANCES IN MATHEMATICS 12862 2% 2% 102

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 ASYMPTOTIC DIMENSION 307599 1% 91% 58 Search ASYMPTOTIC+DIMENSION Search ASYMPTOTIC+DIMENSION
2 COARSE GEOMETRY 216405 1% 86% 43 Search COARSE+GEOMETRY Search COARSE+GEOMETRY
3 ANALYTIC TORSION 201199 1% 90% 38 Search ANALYTIC+TORSION Search ANALYTIC+TORSION
4 NONCOMMUTATIVE GEOMETRY 190938 3% 24% 135 Search NONCOMMUTATIVE+GEOMETRY Search NONCOMMUTATIVE+GEOMETRY
5 BAUM CONNES CONJECTURE 189168 1% 79% 41 Search BAUM+CONNES+CONJECTURE Search BAUM+CONNES+CONJECTURE
6 TWISTED K THEORY 129272 1% 82% 27 Search TWISTED+K+THEORY Search TWISTED+K+THEORY
7 MULTIPLE SINE FUNCTION 123830 0% 92% 23 Search MULTIPLE+SINE+FUNCTION Search MULTIPLE+SINE+FUNCTION
8 NOVIKOV CONJECTURE 116230 0% 83% 24 Search NOVIKOV+CONJECTURE Search NOVIKOV+CONJECTURE
9 INDEX THEORY 109444 1% 37% 51 Search INDEX+THEORY Search INDEX+THEORY
10 K HOMOLOGY 96940 1% 61% 27 Search K+HOMOLOGY Search K+HOMOLOGY

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 (2009) THE MATHEMATICAL WORK OF JEAN-MICHEL BISMUT: A BRIEF SUMMARY.ASTERISQUE. VOL. . ISSUE 327. P. XXV -XXXVII 80 84% 0
2 KORDYUKOV, YA , (2009) INDEX THEORY AND NON-COMMUTATIVE GEOMETRY ON FOLIATED MANIFOLDS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 64. ISSUE 2. P. 273 -391 64 66% 4
3 DEVASTATO, A , LIZZI, F , MARTINETTI, P , (2014) GRAND SYMMETRY, SPECTRAL ACTION AND THE HIGGS MASS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 1. P. - 34 81% 19
4 IOCHUM, B , LEVY, C , (2011) TADPOLES AND COMMUTATIVE SPECTRAL TRIPLES.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 5. ISSUE 3. P. 299 -329 35 95% 4
5 VAN DEN DUNGEN, K , VAN SUIJLEKOM, WD , (2012) PARTICLE PHYSICS FROM ALMOST-COMMUTATIVE SPACETIMES.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 24. ISSUE 9. P. - 45 68% 13
6 LEICHTNAM, E , PIAZZA, P , (2004) ELLIPTIC OPERATORS AND HIGHER SIGNATURES.ANNALES DE L INSTITUT FOURIER. VOL. 54. ISSUE 5. P. 1197-+ 43 91% 5
7 MATHAI, V , WU, SY , (2011) ANALYTIC TORSION FOR TWISTED DE RHAM COMPLEXES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 88. ISSUE 2. P. 297 -332 33 94% 8
8 JUREIT, JH , STEPHAN, CA , (2009) ON A CLASSIFICATION OF IRREDUCIBLE ALMOST-COMMUTATIVE GEOMETRIES V.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 50. ISSUE 7. P. - 32 97% 1
9 STEPHAN, CA , (2009) INVERSE SEESAW MECHANISM IN NONCOMMUTATIVE GEOMETRY.PHYSICAL REVIEW D. VOL. 80. ISSUE 6. P. - 31 97% 2
10 OKUMURA, Y , (2000) GRAVITY-INCORPORATED STANDARD MODEL IN A GENERALIZED DIFFERENTIAL GEOMETRY.JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS. VOL. 26. ISSUE 11. P. 1709 -1722 39 100% 1

Classes with closest relation at Level 2


Rank Class id link
1 2480 LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES
2 631 C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY
3 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
4 3456 SUPERMANIFOLDS//D DIFFERENTIATION//LIE SUPERGROUP
5 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
6 1226 PHYSICS, PARTICLES & FIELDS//PHYSICS LETTERS B//NUCLEAR PHYSICS B
7 885 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
8 1679 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION//MATHEMATICS//CONJUGACY PROBLEM
9 507 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
10 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA

Go to start page