Class information for:
Level 1: 4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6364 1494 20.5 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
6364 1                   4 MANIFOLD//SEIBERG WITTEN INVARIANTS//LEFSCHETZ FIBRATION 1494

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 4 MANIFOLD authKW 854232 5% 56% 74
2 SEIBERG WITTEN INVARIANTS authKW 778854 3% 78% 49
3 LEFSCHETZ FIBRATION authKW 500159 3% 64% 38
4 SYMPLECTIC 4 MANIFOLDS authKW 310854 1% 89% 17
5 SEIBERG WITTEN EQUATIONS authKW 254665 1% 69% 18
6 FOUR MANIFOLD authKW 220705 1% 60% 18
7 DONALDSON INVARIANTS authKW 215861 1% 81% 13
8 EXOTIC R 4 authKW 183933 1% 100% 9
9 EXOTIC SMOOTH STRUCTURES authKW 165538 1% 90% 9
10 RATIONAL BLOW DOWN authKW 127333 1% 69% 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 68656 91% 0% 1361
2 Mathematics, Applied 2881 18% 0% 274
3 Physics, Mathematical 212 4% 0% 60
4 Physics, Particles & Fields 30 2% 0% 37
5 Physics, Multidisciplinary 13 3% 0% 48
6 Logic 0 0% 0% 1
7 History & Philosophy of Science 0 0% 0% 2
8 Multidisciplinary Sciences -0 0% 0% 3
9 Physics, Nuclear -1 1% 0% 10
10 Astronomy & Astrophysics -1 1% 0% 19

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 INTEGERATED HUMAN STUDIES 20437 0% 100% 1
2 KWANGJING GU 20437 0% 100% 1
3 UMP 5580 20437 0% 100% 1
4 MATH 17205 40% 0% 600
5 ACCOUNTING COMP SCI 6811 0% 33% 1
6 ANALYSE NON LINEAIRE GEOMETRIE 6811 0% 33% 1
7 PURE MATH 5196 2% 1% 27
8 CIRGET 4538 0% 11% 2
9 GEOMETRY TOPOL 4530 0% 4% 6
10 FEZA GURSEY 3748 0% 6% 3

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 DIFFERENTIAL GEOMETRY 78397 5% 5% 81
2 TOPOLOGY 62228 4% 5% 63
3 MATHEMATICAL RESEARCH LETTERS 45706 4% 4% 63
4 GEOMETRY & TOPOLOGY 45605 3% 5% 44
5 JOURNAL OF TOPOLOGY 35200 2% 7% 24
6 TOPOLOGY AND ITS APPLICATIONS 33461 7% 2% 100
7 ALGEBRAIC AND GEOMETRIC TOPOLOGY 18797 2% 3% 33
8 PACIFIC JOURNAL OF MATHEMATICS 10671 3% 1% 49
9 COMMENTARII MATHEMATICI HELVETICI 10017 2% 2% 25
10 INVENTIONES MATHEMATICAE 7498 2% 1% 34

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 4 MANIFOLD 854232 5% 56% 74 Search 4+MANIFOLD Search 4+MANIFOLD
2 SEIBERG WITTEN INVARIANTS 778854 3% 78% 49 Search SEIBERG+WITTEN+INVARIANTS Search SEIBERG+WITTEN+INVARIANTS
3 LEFSCHETZ FIBRATION 500159 3% 64% 38 Search LEFSCHETZ+FIBRATION Search LEFSCHETZ+FIBRATION
4 SYMPLECTIC 4 MANIFOLDS 310854 1% 89% 17 Search SYMPLECTIC+4+MANIFOLDS Search SYMPLECTIC+4+MANIFOLDS
5 SEIBERG WITTEN EQUATIONS 254665 1% 69% 18 Search SEIBERG+WITTEN+EQUATIONS Search SEIBERG+WITTEN+EQUATIONS
6 FOUR MANIFOLD 220705 1% 60% 18 Search FOUR+MANIFOLD Search FOUR+MANIFOLD
7 DONALDSON INVARIANTS 215861 1% 81% 13 Search DONALDSON+INVARIANTS Search DONALDSON+INVARIANTS
8 EXOTIC R 4 183933 1% 100% 9 Search EXOTIC+R+4 Search EXOTIC+R+4
9 EXOTIC SMOOTH STRUCTURES 165538 1% 90% 9 Search EXOTIC+SMOOTH+STRUCTURES Search EXOTIC+SMOOTH+STRUCTURES
10 RATIONAL BLOW DOWN 127333 1% 69% 9 Search RATIONAL+BLOW+DOWN Search RATIONAL+BLOW+DOWN

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 TORRES, R , (2014) GEOGRAPHY AND BOTANY OF IRREDUCIBLE NON-SPIN SYMPLECTIC 4-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP.GLASGOW MATHEMATICAL JOURNAL. VOL. 56. ISSUE 2. P. 261 -281 47 100% 0
2 BAYKUR, RI , HAYANO, K , (2016) MULTISECTIONS OF LEFSCHETZ FIBRATIONS AND TOPOLOGY OF SYMPLECTIC 4-MANIFOLDS.GEOMETRY & TOPOLOGY. VOL. 20. ISSUE 4. P. 2335 -2395 42 91% 0
3 SATO, Y , (2013) CANONICAL CLASSES AND THE GEOGRAPHY OF NONMINIMAL LEFSCHETZ FIBRATIONS OVER S-2.PACIFIC JOURNAL OF MATHEMATICS. VOL. 262. ISSUE 1. P. 191-226 30 97% 2
4 AKHMEDOV, A , BALDRIDGE, S , BAYKUR, RI , KIRK, P , PARK, BD , (2010) SIMPLY CONNECTED MINIMAL SYMPLECTIC 4-MANIFOLDS WITH SIGNATURE LESS THAN-1.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 12. ISSUE 1. P. 133 -161 28 100% 9
5 AKHMEDOV, A , PARK, BD , (2008) EXOTIC SMOOTH STRUCTURES ON SMALL 4-MANIFOLDS.INVENTIONES MATHEMATICAE. VOL. 173. ISSUE 1. P. 209-223 29 97% 13
6 AKHMEDOV, A , MONDEN, N , (2016) CONSTRUCTING LEFSCHETZ FIBRATIONS VIA DAISY SUBSTITUTIONS.KYOTO JOURNAL OF MATHEMATICS. VOL. 56. ISSUE 3. P. 501 -529 25 89% 0
7 BALDRIDGE, S , KIRK, P , (2009) CONSTRUCTIONS OF SMALL SYMPLECTIC 4-MANIFOLDS USING LUTTINGER SURGERY.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 82. ISSUE 2. P. 317-361 25 100% 13
8 BRAUNGARDT, V , KOTSCHICK, D , (2005) EINSTEIN METRICS AND THE NUMBER OF SMOOTH STRUCTURES ON A FOUR-MANIFOLD.TOPOLOGY. VOL. 44. ISSUE 3. P. 641-659 30 94% 5
9 AUCKLY, D , KIM, HJ , MELVIN, P , RUBERMAN, D , (2015) STABLE ISOTOPY IN FOUR DIMENSIONS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 91. ISSUE . P. 439 -463 27 79% 1
10 KARAKURT, C , STARKSTON, L , (2016) SURGERY ALONG STAR-SHAPED PLUMBINGS AND EXOTIC SMOOTH STRUCTURES ON 4-MANIFOLDS.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 16. ISSUE 3. P. 1585 -1635 28 76% 0

Classes with closest relation at Level 1


Rank Class id link
1 10734 KHOVANOV HOMOLOGY//HEEGAARD FLOER HOMOLOGY//CONTACT STRUCTURE
2 18009 SURFACES OF GENERAL TYPE//LEHRSTUHL MATH 8//SURFACE OF GENERAL TYPE
3 22158 APPROXIMATE FIBRATION//HOPFIAN MANIFOLD//CODIMENSION 2 FIBRATOR
4 11278 SPLITTING OBSTRUCTION GROUPS//SURGERY OBSTRUCTION//SURGERY OBSTRUCTION GROUPS
5 5901 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY
6 19662 DIFFERENTIAL GEOMETRY//DELETED PRODUCT//LINK MAP
7 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
8 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
9 27891 SIMPLICIAL VOLUME//SELF HOMOTOPY EQUIVALENCE//RELATIVE BOUNDED COHOMOLOGY
10 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW

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