Class information for:
Level 1: HEEGAARD SPLITTING//DEHN SURGERY//3 MANIFOLD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1743 2510 18.0 43%


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

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 HEEGAARD SPLITTING authKW 977047 4% 85% 94
2 DEHN SURGERY authKW 903879 4% 73% 102
3 3 MANIFOLD authKW 752013 6% 43% 145
4 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS journal 501682 11% 16% 266
5 DEHN FILLING authKW 473669 2% 87% 45
6 INCOMPRESSIBLE SURFACE authKW 420467 2% 89% 39
7 HYPERBOLIC KNOT authKW 382057 1% 90% 35
8 HYPERBOLIC 3 MANIFOLD authKW 366730 2% 54% 56
9 NORMAL SURFACE authKW 317014 1% 74% 35
10 CYCLIC BRANCHED COVERING authKW 283534 1% 90% 26

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 132659 98% 0% 2449
2 Mathematics, Applied 5966 20% 0% 507
3 Physics, Mathematical 5 1% 0% 29
4 Mathematics, Interdisciplinary Applications 0 1% 0% 13
5 Logic -0 0% 0% 1
6 Statistics & Probability -4 0% 0% 7
7 Computer Science, Theory & Methods -5 0% 0% 9
8 Multidisciplinary Sciences -5 0% 0% 1
9 Computer Science, Hardware & Architecture -6 0% 0% 1
10 Computer Science, Software Engineering -8 0% 0% 3

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 MATH EDUC 270754 1% 70% 32
2 IS MATH 72982 0% 100% 6
3 MATH 30893 41% 0% 1041
4 LAMA MATH 16217 0% 67% 2
5 SMGS 15636 0% 43% 3
6 UMR 5580 12313 0% 8% 12
7 BIOMED CONVERGENCE TECHNOL 12164 0% 100% 1
8 BIOMED HPC TECHNOL 12164 0% 100% 1
9 CASIL 12164 0% 100% 1
10 CIENCIAS SECC MATEMAT 12164 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 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 501682 11% 16% 266
2 ALGEBRAIC AND GEOMETRIC TOPOLOGY 231673 6% 13% 150
3 TOPOLOGY AND ITS APPLICATIONS 132850 10% 4% 258
4 TOPOLOGY 93310 4% 8% 100
5 GEOMETRY & TOPOLOGY 48784 2% 7% 59
6 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 36313 2% 7% 43
7 PACIFIC JOURNAL OF MATHEMATICS 32671 4% 2% 111
8 OSAKA JOURNAL OF MATHEMATICS 26031 3% 3% 63
9 JOURNAL OF TOPOLOGY 22715 1% 7% 25
10 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 21904 3% 2% 76

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 HEEGAARD SPLITTING 977047 4% 85% 94 Search HEEGAARD+SPLITTING Search HEEGAARD+SPLITTING
2 DEHN SURGERY 903879 4% 73% 102 Search DEHN+SURGERY Search DEHN+SURGERY
3 3 MANIFOLD 752013 6% 43% 145 Search 3+MANIFOLD Search 3+MANIFOLD
4 DEHN FILLING 473669 2% 87% 45 Search DEHN+FILLING Search DEHN+FILLING
5 INCOMPRESSIBLE SURFACE 420467 2% 89% 39 Search INCOMPRESSIBLE+SURFACE Search INCOMPRESSIBLE+SURFACE
6 HYPERBOLIC KNOT 382057 1% 90% 35 Search HYPERBOLIC+KNOT Search HYPERBOLIC+KNOT
7 HYPERBOLIC 3 MANIFOLD 366730 2% 54% 56 Search HYPERBOLIC+3+MANIFOLD Search HYPERBOLIC+3+MANIFOLD
8 NORMAL SURFACE 317014 1% 74% 35 Search NORMAL+SURFACE Search NORMAL+SURFACE
9 CYCLIC BRANCHED COVERING 283534 1% 90% 26 Search CYCLIC+BRANCHED+COVERING Search CYCLIC+BRANCHED+COVERING
10 TWISTED ALEXANDER POLYNOMIAL 265238 1% 84% 26 Search TWISTED+ALEXANDER+POLYNOMIAL Search TWISTED+ALEXANDER+POLYNOMIAL

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 DERUELLE, A , MIYAZAKI, K , MOTEGI, K , (2012) SEIFERTERS AND SEIFERT SURGERY NETWORK.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 217. ISSUE 1021. P. 1-+ 47 96% 0
2 BLAIR, R , CAMPISI, M , JOHNSON, J , TAYLOR, SA , TOMOVA, M , (2017) EXCEPTIONAL AND COSMETIC SURGERIES ON KNOTS.MATHEMATISCHE ANNALEN. VOL. 367. ISSUE 1-2. P. 581 -622 35 95% 0
3 BOILEAU, M , RUBINSTEIN, JH , WANG, SC , (2014) FINITENESS OF 3-MANIFOLDS ASSOCIATED WITH NON-ZERO DEGREE MAPPINGS.COMMENTARII MATHEMATICI HELVETICI. VOL. 89. ISSUE 1. P. 33 -68 33 85% 0
4 LEE, S , (2016) BOUNDARY-REDUCING AND TOROIDAL DEHN FILLINGS AT THE MAXIMAL DISTANCE.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 15. P. 4487 -4543 25 96% 0
5 BOYER, S , GORDON, CM , ZHANG, XR , (2014) DEHN FILLINGS OF KNOT MANIFOLDS CONTAINING ESSENTIAL ONCE-PUNCTURED TORI.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 1. P. 341-393 26 96% 0
6 DU, K , QIU, RF , (2016) A NOTE ON THE UNIQUENESS OF UNSTABILIZED HEEGAARD SPLITTINGS OF AMALGAMATED 3-MANIFOLDS.TOPOLOGY AND ITS APPLICATIONS. VOL. 204. ISSUE . P. 135 -148 22 100% 0
7 HAM, J , LEE, J , (2016) EXPLICIT FORMULAE FOR CHERN-SIMONS INVARIANTS OF THE TWIST-KNOT ORBIFOLDS AND EDGE POLYNOMIALS OF TWIST KNOTS.SBORNIK MATHEMATICS. VOL. 207. ISSUE 9. P. 1319 -1334 22 100% 0
8 ICHIHARA, K , MASAI, H , (2016) EXCEPTIONAL SURGERIES ON ALTERNATING KNOTS.COMMUNICATIONS IN ANALYSIS AND GEOMETRY. VOL. 24. ISSUE 2. P. 337 -377 26 84% 0
9 QIU, RF , ZOU, YQ , GUO, QL , (2015) THE HEEGAARD DISTANCES COVER ALL NONNEGATIVE INTEGERS.PACIFIC JOURNAL OF MATHEMATICS. VOL. 275. ISSUE 1. P. 231 -255 24 89% 1
10 BAKER, KL , GORDON, C , LUECKE, J , (2013) OBTAINING GENUS 2 HEEGAARD SPLITTINGS FROM DEHN SURGERY.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 13. ISSUE 5. P. 2471-2634 22 100% 0

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 13823 COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE
3 10734 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
4 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
5 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
6 21926 CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP
7 27891 SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY
8 6364 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION
9 20314 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//ACUTE TRIANGULATIONS
10 2654 FREE GROUP//CONJUGACY SEPARABLE//RELATIVELY HYPERBOLIC GROUPS

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