Class information for:
Level 2: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
885 11426 19.8 41%


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
885 2             JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//MATHEMATICS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 11426
1743 1                   HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD 2510
2351 1                   JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL 2274
5901 1                   JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY 1562
6364 1                   4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION 1494
10734 1                   KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE 1039
13819 1                   VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 811
14169 1                   GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING 787
19662 1                   DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP 495
25852 1                   CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE 270
35346 1                   C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET 98
36118 1                   KNOT SPINNING//SIMPLE KNOT//4 KNOT 86

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 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS journal 2425981 11% 73% 1248
2 MATHEMATICS WoSSC 554077 94% 2% 10687
3 ALGEBRAIC AND GEOMETRIC TOPOLOGY journal 533970 4% 41% 486
4 3 MANIFOLD authKW 426259 2% 69% 233
5 KNOT authKW 384367 2% 55% 261
6 DEHN SURGERY authKW 322347 1% 93% 130
7 GEOMETRY & TOPOLOGY journal 307525 3% 36% 316
8 VIRTUAL KNOT authKW 307446 1% 97% 119
9 JONES POLYNOMIAL authKW 296718 1% 82% 135
10 VASSILIEV INVARIANTS authKW 279031 1% 89% 117

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 554077 94% 2% 10687
2 Mathematics, Applied 22922 19% 0% 2134
3 Physics, Mathematical 916 3% 0% 366
4 Physics, Particles & Fields 33 2% 0% 180
5 Architecture -0 0% 0% 2
6 Multidisciplinary Sciences -1 0% 0% 27
7 Logic -1 0% 0% 3
8 History & Philosophy of Science -8 0% 0% 3
9 Physics, Nuclear -9 1% 0% 68
10 Materials Science, Textiles -11 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 148976 43% 1% 4873
2 MATH MATH EDUC 79462 0% 80% 37
3 DIFFERENTIAL GEOMETRY 39552 0% 74% 20
4 QUANTUM TOPOL 38745 0% 52% 28
5 CIRGET 25066 0% 72% 13
6 ADV MATH 20392 0% 23% 34
7 MATH SCI 16781 6% 1% 742
8 IS MATH 16023 0% 100% 6
9 MATH MS 136 14237 0% 67% 8
10 PURE MATH MATH STAT 9886 0% 7% 51

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 2425981 11% 73% 1248
2 ALGEBRAIC AND GEOMETRIC TOPOLOGY 533970 4% 41% 486
3 GEOMETRY & TOPOLOGY 307525 3% 36% 316
4 TOPOLOGY 272938 3% 28% 365
5 TOPOLOGY AND ITS APPLICATIONS 271724 7% 13% 788
6 JOURNAL OF SYMPLECTIC GEOMETRY 199172 1% 58% 129
7 JOURNAL OF TOPOLOGY 94847 1% 33% 109
8 COMMENTARII MATHEMATICI HELVETICI 93339 2% 17% 211
9 JOURNAL OF DIFFERENTIAL GEOMETRY 67319 2% 12% 208
10 PACIFIC JOURNAL OF MATHEMATICS 63593 3% 7% 331

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 426259 2% 69% 233 Search 3+MANIFOLD Search 3+MANIFOLD
2 KNOT 384367 2% 55% 261 Search KNOT Search KNOT
3 DEHN SURGERY 322347 1% 93% 130 Search DEHN+SURGERY Search DEHN+SURGERY
4 VIRTUAL KNOT 307446 1% 97% 119 Search VIRTUAL+KNOT Search VIRTUAL+KNOT
5 JONES POLYNOMIAL 296718 1% 82% 135 Search JONES+POLYNOMIAL Search JONES+POLYNOMIAL
6 VASSILIEV INVARIANTS 279031 1% 89% 117 Search VASSILIEV+INVARIANTS Search VASSILIEV+INVARIANTS
7 FLOER HOMOLOGY 253722 1% 99% 96 Search FLOER+HOMOLOGY Search FLOER+HOMOLOGY
8 QUANDLE 251260 1% 97% 97 Search QUANDLE Search QUANDLE
9 HEEGAARD SPLITTING 233136 1% 89% 98 Search HEEGAARD+SPLITTING Search HEEGAARD+SPLITTING
10 LINK 206287 1% 53% 145 Search LINK Search LINK

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 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
2 LIDMAN, T , SIVEK, S , (2016) CONTACT STRUCTURES AND REDUCIBLE SURGERIES.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 1. P. 152 -186 52 100% 2
3 STOIMENOW, A , (2014) ON THE CROSSING NUMBER OF SEMIADEQUATE LINKS.FORUM MATHEMATICUM. VOL. 26. ISSUE 4. P. 1187 -1246 60 98% 3
4 MANOLESCU, C , (2015) FLOER THEORY AND ITS TOPOLOGICAL APPLICATIONS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 10. ISSUE 2. P. 105 -133 57 93% 0
5 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
6 WENDL, C , (2013) A HIERARCHY OF LOCAL SYMPLECTIC FILLING OBSTRUCTIONS FOR CONTACT 3-MANIFOLDS.DUKE MATHEMATICAL JOURNAL. VOL. 162. ISSUE 12. P. 2197 -2283 52 100% 1
7 MOROZOV, A , (2016) FACTORIZATION OF DIFFERENTIAL EXPANSION FOR ANTIPARALLEL DOUBLE-BRAID KNOTS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 9. P. - 62 78% 0
8 BORMAN, MS , ZAPOLSKY, F , (2015) QUASIMORPHISMS ON CONTACTOMORPHISM GROUPS AND CONTACT RIGIDITY.GEOMETRY & TOPOLOGY. VOL. 19. ISSUE 1. P. 365 -411 48 94% 3
9 MIRONOV, A , MOROZOV, A , MOROZOV, A , RAMADEVI, P , SINGH, VK , (2015) COLORED HOMFLY POLYNOMIALS OF KNOTS PRESENTED AS DOUBLE FAT DIAGRAMS.JOURNAL OF HIGH ENERGY PHYSICS. VOL. . ISSUE 7. P. - 49 94% 1
10 BORMAN, MS , MCLEAN, M , (2014) BOUNDING LAGRANGIAN WIDTHS VIA GEODESIC PATHS.COMPOSITIO MATHEMATICA. VOL. 150. ISSUE 12. P. 2143 -2183 48 98% 2

Classes with closest relation at Level 2


Rank Class id link
1 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
2 1679 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION//MATHEMATICS//CONJUGACY PROBLEM
3 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
4 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
5 507 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
6 1441 GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER
7 291 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
8 1540 MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES
9 3335 GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY
10 1918 HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA

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