Class information for:
Level 1: HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6160 1520 18.8 42%


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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
507 2             MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE 15257
6160 1                   HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE 1520

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 HIGGS BUNDLES authKW 744028 3% 71% 52
2 PARABOLIC BUNDLE authKW 475741 2% 79% 30
3 PRINCIPAL BUNDLE authKW 474104 3% 45% 53
4 MODULI SPACE authKW 343057 7% 16% 104
5 VECTOR BUNDLES authKW 242377 4% 19% 65
6 STABLE VECTOR BUNDLES authKW 182591 1% 45% 20
7 MAXIMAL REPRESENTATIONS authKW 180786 1% 100% 9
8 SEMISTABILITY authKW 177975 2% 37% 24
9 CHARACTER VARIETY authKW 154105 2% 28% 27
10 HITCHIN KOBAYASHI CORRESPONDENCE authKW 142842 1% 89% 8

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 73109 93% 0% 1416
2 Mathematics, Applied 1283 13% 0% 192
3 Physics, Mathematical 332 5% 0% 73
4 Multidisciplinary Sciences -2 0% 0% 1
5 Physics, Particles & Fields -4 1% 0% 8
6 Physics, Multidisciplinary -26 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 28848 51% 0% 778
2 FIS FUNDAMENTAL MATEMAT 26778 0% 33% 4
3 MATEMAT PURA 22486 1% 10% 11
4 AMILISE MATEMAT GEOMETRIA SISTEMAS DINAM 20087 0% 100% 1
5 AVDELING LAERUTDANNING 20087 0% 100% 1
6 CSICICMAT 20087 0% 100% 1
7 DG PAYMENTS MARKET INFRASTRUCT 20087 0% 100% 1
8 ESCUELA UNIV MAGISTERIO FRAY LUIS DE LEON 20087 0% 100% 1
9 FB MATH INFORM 6 20087 0% 100% 1
10 FORTHEORET SCI 20087 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 INTERNATIONAL JOURNAL OF MATHEMATICS 115145 6% 6% 95
2 PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 32526 3% 4% 43
3 MATHEMATISCHE ANNALEN 22114 5% 2% 72
4 JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY 18761 1% 8% 12
5 JOURNAL OF ALGEBRAIC GEOMETRY 14238 1% 4% 19
6 BULLETIN DES SCIENCES MATHEMATIQUES 12928 2% 2% 28
7 GEOMETRIAE DEDICATA 11792 3% 1% 42
8 TOPOLOGY 11203 2% 2% 27
9 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 10247 3% 1% 43
10 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 10162 3% 1% 39

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 HIGGS BUNDLES 744028 3% 71% 52 Search HIGGS+BUNDLES Search HIGGS+BUNDLES
2 PARABOLIC BUNDLE 475741 2% 79% 30 Search PARABOLIC+BUNDLE Search PARABOLIC+BUNDLE
3 PRINCIPAL BUNDLE 474104 3% 45% 53 Search PRINCIPAL+BUNDLE Search PRINCIPAL+BUNDLE
4 MODULI SPACE 343057 7% 16% 104 Search MODULI+SPACE Search MODULI+SPACE
5 VECTOR BUNDLES 242377 4% 19% 65 Search VECTOR+BUNDLES Search VECTOR+BUNDLES
6 STABLE VECTOR BUNDLES 182591 1% 45% 20 Search STABLE+VECTOR+BUNDLES Search STABLE+VECTOR+BUNDLES
7 MAXIMAL REPRESENTATIONS 180786 1% 100% 9 Search MAXIMAL+REPRESENTATIONS Search MAXIMAL+REPRESENTATIONS
8 SEMISTABILITY 177975 2% 37% 24 Search SEMISTABILITY Search SEMISTABILITY
9 CHARACTER VARIETY 154105 2% 28% 27 Search CHARACTER+VARIETY Search CHARACTER+VARIETY
10 HITCHIN KOBAYASHI CORRESPONDENCE 142842 1% 89% 8 Search HITCHIN+KOBAYASHI+CORRESPONDENCE Search HITCHIN+KOBAYASHI+CORRESPONDENCE

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 GARCIA-PRADA, O , GOTHEN, PB , RIERA, IMI , (2013) HIGGS BUNDLES AND SURFACE GROUP REPRESENTATIONS IN THE REAL SYMPLECTIC GROUP.JOURNAL OF TOPOLOGY. VOL. 6. ISSUE 1. P. 64-118 28 97% 14
2 GOTHEN, PB , NOZAD, A , (2017) BIRATIONALITY OF MODULI SPACES OF TWISTED U(P, Q)-HIGGS BUNDLES.REVISTA MATEMATICA COMPLUTENSE. VOL. 30. ISSUE 1. P. 91 -128 24 100% 0
3 DALAKOV, P , (2016) MEROMORPHIC HIGGS BUNDLES AND RELATED GEOMETRIES.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 109. ISSUE . P. 44 -67 33 69% 0
4 BRADLOW, SB , WILKIN, G , (2012) MORSE THEORY, HIGGS FIELDS, AND YANG-MILLS-HIGGS FUNCTIONALS.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 11. ISSUE 1. P. 1 -41 29 83% 0
5 BRADLOW, SB , GARCIA-PRADA, O , GOTHEN, PB , (2012) DEFORMATIONS OF MAXIMAL REPRESENTATIONS IN SP(4, R).QUARTERLY JOURNAL OF MATHEMATICS. VOL. 63. ISSUE 4. P. 795 -843 23 96% 3
6 BURGER, M , IOZZI, A , WIENHARD, A , (2010) SURFACE GROUP REPRESENTATIONS WITH MAXIMAL TOLEDO INVARIANT.ANNALS OF MATHEMATICS. VOL. 172. ISSUE 1. P. 517 -566 23 88% 31
7 BRADLOW, SB , GARCIA-PRADA, O , GOTHEN, PB , (2015) HIGGS BUNDLES FOR THE NON-COMPACT DUAL OF THE SPECIAL ORTHOGONAL GROUP.GEOMETRIAE DEDICATA. VOL. 175. ISSUE 1. P. 1 -48 19 100% 1
8 GONZALEZ-MARTINEZ, C , (2013) HODGE POLYNOMIALS OF SOME MODULI SPACES OF COHERENT SYSTEMS.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 24. ISSUE 3. P. - 21 95% 0
9 GOTHEN, PB , OLIVEIRA, AG , (2012) RANK TWO QUADRATIC PAIRS AND SURFACE GROUP REPRESENTATIONS.GEOMETRIAE DEDICATA. VOL. 161. ISSUE 1. P. 335-375 21 95% 1
10 ABE, T , (2010) PROJECTIVE NORMALITY OF THE MODULI SPACE OF RANK 2 VECTOR BUNDLES ON A GENERIC CURVE.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 1. P. 477-490 20 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 7888 DERIVED CATEGORY//EXCEPTIONAL COLLECTION//FOURIER MUKAI TRANSFORM
2 7735 BRILL NOETHER THEORY//GONALITY//LINEAR SERIES
3 17064 INSTANTON BUNDLES//ULRICH BUNDLES//GLOBALLY GENERATED
4 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
5 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
6 7151 GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS
7 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP
8 27516 HOPF MANIFOLDS//GLOBAL RESOLUTIONS//SPIN7 INSTANTON
9 16252 VASSILIEV SPECTRAL SEQUENCE//HYPERKAHLER METRICS//EXCELLENCE COSMOL PARTICLE PHYS PHENOMENOL
10 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP

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