Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 281 | 42804 | 19.6 | 36% |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
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 | MATHEMATICS | WoSSC | 1854479 | 89% | 7% | 37883 |
| 2 | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | journal | 754727 | 3% | 79% | 1349 |
| 3 | ALGEBRAIC AND GEOMETRIC TOPOLOGY | journal | 628183 | 2% | 87% | 1021 |
| 4 | MATH | address | 423191 | 37% | 4% | 15969 |
| 5 | TOPOLOGY | journal | 421912 | 2% | 68% | 879 |
| 6 | TOPOLOGY AND ITS APPLICATIONS | journal | 405801 | 4% | 31% | 1867 |
| 7 | GEOMETRY & TOPOLOGY | journal | 325697 | 1% | 73% | 630 |
| 8 | 3 MANIFOLD | authKW | 169857 | 1% | 84% | 285 |
| 9 | MAPPING CLASS GROUP | authKW | 165635 | 1% | 84% | 276 |
| 10 | JOURNAL OF TOPOLOGY | journal | 157478 | 1% | 81% | 272 |
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 | 1854479 | 89% | 7% | 37883 |
| 2 | Mathematics, Applied | 105173 | 21% | 2% | 8780 |
| 3 | Physics, Mathematical | 8235 | 5% | 1% | 1948 |
| 4 | Computer Science, Theory & Methods | 736 | 2% | 0% | 792 |
| 5 | Logic | 583 | 0% | 1% | 130 |
| 6 | Physics, Particles & Fields | 215 | 2% | 0% | 748 |
| 7 | Multidisciplinary Sciences | 17 | 0% | 0% | 164 |
| 8 | Architecture | 9 | 0% | 0% | 20 |
| 9 | Computer Science, Software Engineering | 7 | 1% | 0% | 263 |
| 10 | COMPUTER APPLICATIONS & CYBERNETICS | -1 | 0% | 0% | 2 |
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 | 423191 | 37% | 4% | 15969 |
| 2 | MATH SCI | 39096 | 5% | 3% | 2216 |
| 3 | MATEMAT | 37601 | 3% | 4% | 1278 |
| 4 | MATH MATH EDUC | 21157 | 0% | 80% | 37 |
| 5 | MATH STAT | 17859 | 3% | 2% | 1403 |
| 6 | EMILE PICARD | 17795 | 0% | 32% | 79 |
| 7 | QUANTUM TOPOL | 16113 | 0% | 65% | 35 |
| 8 | FAK MATH | 15570 | 1% | 8% | 300 |
| 9 | RECH MATH AVANCEE | 15485 | 0% | 20% | 108 |
| 10 | UMR 5580 | 12460 | 0% | 35% | 50 |
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 KNOT THEORY AND ITS RAMIFICATIONS | 754727 | 3% | 79% | 1349 |
| 2 | ALGEBRAIC AND GEOMETRIC TOPOLOGY | 628183 | 2% | 87% | 1021 |
| 3 | TOPOLOGY | 421912 | 2% | 68% | 879 |
| 4 | TOPOLOGY AND ITS APPLICATIONS | 405801 | 4% | 31% | 1867 |
| 5 | GEOMETRY & TOPOLOGY | 325697 | 1% | 73% | 630 |
| 6 | JOURNAL OF TOPOLOGY | 157478 | 1% | 81% | 272 |
| 7 | JOURNAL OF PURE AND APPLIED ALGEBRA | 142435 | 3% | 19% | 1085 |
| 8 | COMMENTARII MATHEMATICI HELVETICI | 130183 | 1% | 38% | 483 |
| 9 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 129165 | 3% | 14% | 1296 |
| 10 | GEOMETRIAE DEDICATA | 125252 | 2% | 24% | 728 |
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 | 3 MANIFOLD | 169857 | 1% | 84% | 285 | Search 3+MANIFOLD | Search 3+MANIFOLD |
| 2 | MAPPING CLASS GROUP | 165635 | 1% | 84% | 276 | Search MAPPING+CLASS+GROUP | Search MAPPING+CLASS+GROUP |
| 3 | KNOT | 108599 | 1% | 57% | 269 | Search KNOT | Search KNOT |
| 4 | DEHN SURGERY | 92598 | 0% | 96% | 135 | Search DEHN+SURGERY | Search DEHN+SURGERY |
| 5 | VASSILIEV INVARIANTS | 84839 | 0% | 95% | 125 | Search VASSILIEV+INVARIANTS | Search VASSILIEV+INVARIANTS |
| 6 | VIRTUAL KNOT | 83279 | 0% | 98% | 120 | Search VIRTUAL+KNOT | Search VIRTUAL+KNOT |
| 7 | JONES POLYNOMIAL | 81370 | 0% | 84% | 137 | Search JONES+POLYNOMIAL | Search JONES+POLYNOMIAL |
| 8 | BRAID GROUP | 78863 | 0% | 61% | 181 | Search BRAID+GROUP | Search BRAID+GROUP |
| 9 | HYPERBOLIC 3 MANIFOLD | 71162 | 0% | 98% | 102 | Search HYPERBOLIC+3+MANIFOLD | Search HYPERBOLIC+3+MANIFOLD |
| 10 | HEEGAARD SPLITTING | 69938 | 0% | 95% | 104 | Search HEEGAARD+SPLITTING | Search HEEGAARD+SPLITTING |
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 | SAPIR, M , (2011) ASYMPTOTIC INVARIANTS, COMPLEXITY OF GROUPS AND RELATED PROBLEMS.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 1. ISSUE 2. P. 277-364 | 81 | 86% | 2 |
| 2 | MIRONOV, A , MOROZOV, A , MOROZOV, A , SLEPTSOV, A , (2016) HOMFLY POLYNOMIALS IN REPRESENTATION [3,1] FOR 3-STRAND BRAIDS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 9. P. - | 69 | 87% | 0 |
| 3 | LIDMAN, T , SIVEK, S , (2016) CONTACT STRUCTURES AND REDUCIBLE SURGERIES.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 1. P. 152 -186 | 52 | 100% | 2 |
| 4 | STOIMENOW, A , (2014) ON THE CROSSING NUMBER OF SEMIADEQUATE LINKS.FORUM MATHEMATICUM. VOL. 26. ISSUE 4. P. 1187 -1246 | 60 | 98% | 3 |
| 5 | (2009) THE MATHEMATICAL WORK OF JEAN-MICHEL BISMUT: A BRIEF SUMMARY.ASTERISQUE. VOL. . ISSUE 327. P. XXV -XXXVII | 80 | 84% | 0 |
| 6 | KHARLAMPOVICH, O , MYASNIKOV, A , SERBIN, D , (2013) ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 23. ISSUE 2. P. 325-455 | 59 | 100% | 4 |
| 7 | DAHMANI, F , GUIRARDEL, V , OSIN, D , (2017) HYPERBOLICALLY EMBEDDED SUBGROUPS AND ROTATING FAMILIES IN GROUPS ACTING ON HYPERBOLIC SPACES.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 244. ISSUE 1156. P. 1 -+ | 67 | 82% | 0 |
| 8 | MANOLESCU, C , (2015) FLOER THEORY AND ITS TOPOLOGICAL APPLICATIONS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 10. ISSUE 2. P. 105 -133 | 59 | 97% | 0 |
| 9 | MIRONOV, A , MOROZOV, A , SLEPTSOV, A , (2015) COLORED HOMFLY POLYNOMIALS FOR THE PRETZEL KNOTS AND LINKS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 7. P. - | 55 | 90% | 2 |
| 10 | ELIASHBERG, Y , (1998) SYMPLECTIC TOPOLOGY IN THE NINETIES.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 9. ISSUE 1-2. P. 59 -88 | 87 | 92% | 8 |
Classes with closest relation at Level 3 |