Class information for:
Level 1: KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10734 1039 21.0 50%


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
10734 1                   KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE 1039

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 KHOVANOV HOMOLOGY authKW 1346004 6% 78% 59
2 HEEGAARD FLOER HOMOLOGY authKW 1039495 4% 91% 39
3 CONTACT STRUCTURE authKW 681917 6% 39% 59
4 KNOT FLOER HOMOLOGY authKW 395955 2% 84% 16
5 LEGENDRIAN KNOT authKW 393636 2% 56% 24
6 ALGEBRAIC AND GEOMETRIC TOPOLOGY journal 388914 12% 11% 125
7 LINK HOMOLOGY authKW 354749 1% 93% 13
8 ARC PRESENTATION authKW 323264 1% 100% 11
9 RASMUSSEN INVARIANT authKW 296323 1% 92% 11
10 TIGHT CONTACT STRUCTURE authKW 264489 1% 100% 9

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 55716 98% 0% 1021
2 Mathematics, Applied 1184 14% 0% 150
3 Physics, Mathematical 7 1% 0% 15
4 Physics, Particles & Fields -4 0% 0% 4
5 Physics, Fluids & Plasmas -4 0% 0% 1
6 Computer Science, Theory & Methods -6 0% 0% 1
7 Physics, Nuclear -7 0% 0% 1
8 Mechanics -8 0% 0% 2
9 Physics, Multidisciplinary -13 0% 0% 4

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 DIPARTIMENTO MATEMAT L TONELLI 39696 1% 14% 10
2 MATH 31064 64% 0% 664
3 ALGEBRA GEOMETRY DIFFERENTIAL TOPOL 29388 0% 100% 1
4 CNRS MATH BOURGOGNE 29388 0% 100% 1
5 DIPARTIMENTO MATHEMAT 29388 0% 100% 1
6 DIPARTIMETNO MATHAMAT L TONELLI 29388 0% 100% 1
7 ECOLE SUPER INGINIEURS TUNIS 29388 0% 100% 1
8 INT FRANCO RUSSE MATH INTERACT INFORMAT P 29388 0% 100% 1
9 MATH LMU 29388 0% 100% 1
10 MATH MS 050 29388 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 ALGEBRAIC AND GEOMETRIC TOPOLOGY 388914 12% 11% 125
2 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 234489 11% 7% 117
3 GEOMETRY & TOPOLOGY 170936 7% 8% 71
4 JOURNAL OF SYMPLECTIC GEOMETRY 75864 2% 11% 24
5 JOURNAL OF TOPOLOGY 59431 3% 8% 26
6 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 14903 4% 1% 39
7 TOPOLOGY AND ITS APPLICATIONS 13490 5% 1% 53
8 MATHEMATICAL RESEARCH LETTERS 12962 3% 2% 28
9 TOPOLOGY 7283 2% 1% 18
10 JOURNAL OF DIFFERENTIAL GEOMETRY 6847 2% 1% 20

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 KHOVANOV HOMOLOGY 1346004 6% 78% 59 Search KHOVANOV+HOMOLOGY Search KHOVANOV+HOMOLOGY
2 HEEGAARD FLOER HOMOLOGY 1039495 4% 91% 39 Search HEEGAARD+FLOER+HOMOLOGY Search HEEGAARD+FLOER+HOMOLOGY
3 CONTACT STRUCTURE 681917 6% 39% 59 Search CONTACT+STRUCTURE Search CONTACT+STRUCTURE
4 KNOT FLOER HOMOLOGY 395955 2% 84% 16 Search KNOT+FLOER+HOMOLOGY Search KNOT+FLOER+HOMOLOGY
5 LEGENDRIAN KNOT 393636 2% 56% 24 Search LEGENDRIAN+KNOT Search LEGENDRIAN+KNOT
6 LINK HOMOLOGY 354749 1% 93% 13 Search LINK+HOMOLOGY Search LINK+HOMOLOGY
7 ARC PRESENTATION 323264 1% 100% 11 Search ARC+PRESENTATION Search ARC+PRESENTATION
8 RASMUSSEN INVARIANT 296323 1% 92% 11 Search RASMUSSEN+INVARIANT Search RASMUSSEN+INVARIANT
9 TIGHT CONTACT STRUCTURE 264489 1% 100% 9 Search TIGHT+CONTACT+STRUCTURE Search TIGHT+CONTACT+STRUCTURE
10 ARC INDEX 235101 1% 100% 8 Search ARC+INDEX Search ARC+INDEX

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 GOLLA, M , (2015) OZSVATH-SZABO INVARIANTS OF CONTACT SURGERIES.GEOMETRY & TOPOLOGY. VOL. 19. ISSUE 1. P. 171 -235 32 100% 1
2 HEDDEN, M , PLAMENEVSKAYA, O , (2013) DEHN SURGERY, RATIONAL OPEN BOOKS AND KNOT FLOER HOMOLOGY.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 13. ISSUE 3. P. 1815-1856 34 100% 0
3 LEWARK, L , (2014) RASMUSSEN'S SPECTRAL SEQUENCES AND THE SL(N)-CONCORDANCE INVARIANTS.ADVANCES IN MATHEMATICS. VOL. 260. ISSUE . P. 59-83 32 94% 0
4 GREENE, JE , (2013) A SPANNING TREE MODEL FOR THE HEEGAARD FLOER HOMOLOGY OF A BRANCHED DOUBLE-COVER.JOURNAL OF TOPOLOGY. VOL. 6. ISSUE 2. P. 525-567 26 96% 7
5 HENDRICKS, K , LIPSHITZ, R , SARKAR, S , (2016) A FLEXIBLE CONSTRUCTION OF EQUIVARIANT FLOER HOMOLOGY AND APPLICATIONS.JOURNAL OF TOPOLOGY. VOL. 9. ISSUE 4. P. 1153 -1236 29 83% 0
6 LISCA, P , OZSVATH, P , STIPSICZ, AI , SZABO, Z , (2009) HEEGAARD FLOER INVARIANTS OF LEGENDRIAN KNOTS IN CONTACT THREE-MANIFOLDS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 11. ISSUE 6. P. 1307 -1363 26 100% 19
7 BALDWIN, JA , VELA-VICK, DS , VERTESI, V , (2013) ON THE EQUIVALENCE OF LEGENDRIAN AND TRANSVERSE INVARIANTS IN KNOT FLOER HOMOLOGY.GEOMETRY & TOPOLOGY. VOL. 17. ISSUE 2. P. 925-974 27 90% 2
8 HEDDEN, M , (2010) NOTIONS OF POSITIVITY AND THE OZSVATH-SZABO CONCORDANCE INVARIANT.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 19. ISSUE 5. P. 617-629 25 100% 17
9 GHIGGINI, P , LISCA, P , STIPSICZ, AI , (2007) TIGHT CONTACT STRUCTURES ON SOME SMALL SEIFERT FIBERED 3-MANIFOLDS.AMERICAN JOURNAL OF MATHEMATICS. VOL. 129. ISSUE 5. P. 1403 -1447 27 100% 8
10 LIPSHITZ, R , OZSVATH, PS , THURSTON, DP , (2011) TOUR OF BORDERED FLOER THEORY.PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. VOL. 108. ISSUE 20. P. 8085 -8092 30 81% 2

Classes with closest relation at Level 1


Rank Class id link
1 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL
2 5901 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY
3 6364 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
4 1743 HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD
5 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
6 13819 VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
7 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
8 30731 SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//COVERING MOVE
9 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O
10 21525 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS

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