Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 18353 | 555 | 21.5 | 38% |
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 |
| 18353 | 1 | ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC | 555 |
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 | ANALYTIC TORSION | authKW | 577663 | 4% | 50% | 21 |
| 2 | INDEX THEORY AND RELATED FIXED POINT THEOREMS | authKW | 282945 | 1% | 86% | 6 |
| 3 | QUILLEN METRIC | authKW | 229238 | 1% | 83% | 5 |
| 4 | WITTEN DEFORMATION | authKW | 180052 | 1% | 55% | 6 |
| 5 | CONE LIKE SINGULARITIES | authKW | 165053 | 1% | 100% | 3 |
| 6 | DELIGNE PAIRING | authKW | 165053 | 1% | 100% | 3 |
| 7 | HEAT AND OTHER PARABOLIC EQUATION METHODS | authKW | 165053 | 1% | 100% | 3 |
| 8 | HOPF INDEX THEOREM | authKW | 165053 | 1% | 100% | 3 |
| 9 | CLIFFORD ASYMPTOTICS | authKW | 110035 | 0% | 100% | 2 |
| 10 | CLIFFORD VARIABLES | authKW | 110035 | 0% | 100% | 2 |
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 | 20659 | 82% | 0% | 456 |
| 2 | Physics, Mathematical | 1417 | 15% | 0% | 81 |
| 3 | Mathematics, Applied | 394 | 12% | 0% | 65 |
| 4 | Physics, Particles & Fields | 22 | 3% | 0% | 17 |
| 5 | Physics, Multidisciplinary | -0 | 2% | 0% | 10 |
| 6 | Physics, Nuclear | -1 | 1% | 0% | 3 |
| 7 | Statistics & Probability | -2 | 0% | 0% | 1 |
| 8 | Astronomy & Astrophysics | -4 | 1% | 0% | 3 |
| 9 | Physics, Atomic, Molecular & Chemical | -6 | 0% | 0% | 1 |
| 10 | Optics | -7 | 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 | SCI MED STUDIES MALAZ | 110035 | 0% | 100% | 2 |
| 2 | C RS | 55018 | 0% | 100% | 1 |
| 3 | COL PLYING MATH PHYS | 55018 | 0% | 100% | 1 |
| 4 | EILENBERG CHAIR SPRING 2011 | 55018 | 0% | 100% | 1 |
| 5 | EQUIPE ARITHMET GEOMETRIE ALGEBR MATH | 55018 | 0% | 100% | 1 |
| 6 | JOINT PROJECT TEAM INRIA MATHERIALS | 55018 | 0% | 100% | 1 |
| 7 | MATAMATISK FAG | 55018 | 0% | 100% | 1 |
| 8 | UFRMIG EMILE PICARD | 55018 | 0% | 100% | 1 |
| 9 | EQUIPE EMILE PICARD | 24449 | 0% | 22% | 2 |
| 10 | CHERN MATH | 14938 | 2% | 2% | 11 |
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 | COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 14323 | 8% | 1% | 47 |
| 2 | ASTERISQUE | 11715 | 3% | 1% | 18 |
| 3 | COMMUNICATIONS IN MATHEMATICAL PHYSICS | 8732 | 6% | 0% | 36 |
| 4 | COMPTES RENDUS MATHEMATIQUE | 7030 | 4% | 1% | 23 |
| 5 | JOURNAL OF DIFFERENTIAL GEOMETRY | 6289 | 3% | 1% | 14 |
| 6 | K-THEORY | 4715 | 1% | 1% | 6 |
| 7 | JOURNAL OF TOPOLOGY | 4108 | 1% | 1% | 5 |
| 8 | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 3886 | 3% | 0% | 16 |
| 9 | COMPOSITIO MATHEMATICA | 3782 | 2% | 1% | 13 |
| 10 | JOURNAL OF NONCOMMUTATIVE GEOMETRY | 3289 | 1% | 1% | 4 |
Author Key Words |
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 | 76 | 80% | 0 |
| 2 | GIL, JIB , MONTPLET, GFI , LITCANU, R , (2014) GENERALIZED HOLOMORPHIC ANALYTIC TORSION.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 3. P. 463-535 | 28 | 88% | 1 |
| 3 | WANG, Y , (2016) VOLTERRA CALCULUS, LOCAL EQUIVARIANT FAMILY INDEX THEOREM AND EQUIVARIANT ETA FORMS.ASIAN JOURNAL OF MATHEMATICS. VOL. 20. ISSUE 4. P. 759 -784 | 23 | 82% | 0 |
| 4 | BISMUT, JM , GOETTE, S , (2001) FAMILIES TORSION AND MORSE FUNCTIONS.ASTERISQUE. VOL. . ISSUE 275. P. III-+ | 29 | 88% | 0 |
| 5 | MATHAI, V , WU, SY , (2011) ANALYTIC TORSION FOR TWISTED DE RHAM COMPLEXES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 88. ISSUE 2. P. 297 -332 | 25 | 71% | 8 |
| 6 | PONGE, R , WANG, H , (2016) NONCOMMUTATIVE GEOMETRY AND CONFORMAL GEOMETRY, II. CONNES-CHERN CHARACTER AND THE LOCAL EQUIVARIANT INDEX THEOREM.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 10. ISSUE 1. P. 307 -378 | 19 | 68% | 3 |
| 7 | ZHU, JL , (2015) ON THE GLUING FORMULA OF REAL ANALYTIC TORSION FORMS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 16. P. 6793 -6841 | 16 | 100% | 0 |
| 8 | GOETTE, S , (2009) TORSION INVARIANTS FOR FAMILIES.ASTERISQUE. VOL. . ISSUE 328. P. 161 -206 | 23 | 79% | 3 |
| 9 | BISMUT, JM , MA, XN , (2004) HOLOMORPHIC IMMERSIONS AND EQUIVARIANT TORSION FORMS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 575. ISSUE . P. 189-235 | 20 | 100% | 6 |
| 10 | SU, GX , (2015) A CHEEGER-MULLER THEOREM FOR SYMMETRIC BILINEAR TORSIONS ON MANIFOLDS WITH BOUNDARY.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 2. P. 423 -446 | 15 | 94% | 1 |
Classes with closest relation at Level 1 |