Class information for:
Level 1: SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12048 936 21.3 38%


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
2083 2             ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION 5216
12048 1                   SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP 936

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 SYMPLECTIC REDUCTION authKW 312876 3% 36% 27
2 SYMPLECTIC QUOTIENT authKW 306275 1% 72% 13
3 MOMENTUM MAP authKW 300993 3% 34% 27
4 EQUIVARIANT INDEX authKW 217472 1% 67% 10
5 EQUIVARIANT COHOMOLOGY authKW 203176 3% 21% 29
6 MOMENT MAP authKW 194139 3% 24% 25
7 HAMILTONIAN ACTION authKW 179003 2% 37% 15
8 HAMILTONIAN TORUS ACTIONS authKW 146795 1% 75% 6
9 MOMENT MAPPING authKW 146795 1% 75% 6
10 SYMMETRIC HAMILTONIAN SYSTEMS authKW 135922 1% 83% 5

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 27579 73% 0% 686
2 Physics, Mathematical 3287 17% 0% 159
3 Mathematics, Applied 2991 23% 0% 217
4 Mechanics 76 4% 0% 39
5 Physics, Particles & Fields 62 4% 0% 34
6 Physics, Nuclear 21 2% 0% 21
7 Physics, Multidisciplinary 5 3% 0% 28
8 Astronomy & Astrophysics -0 1% 0% 13
9 Remote Sensing -0 0% 0% 1
10 Geology -0 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 DIPARTIMENTO MATEMAT PL ARCHITETTURA 58717 0% 60% 3
2 BERNOULLI 46585 1% 14% 10
3 DIP MAT CASTELNUOVO 41939 0% 43% 3
4 BUR 113 32622 0% 100% 1
5 CIENCIAS MATH PURA 32622 0% 100% 1
6 COLEGIO UNIV CAYEY 32622 0% 100% 1
7 DIANA GRP 32622 0% 100% 1
8 DIPARTIMENTO MATEMAT PLICAZI 32622 0% 100% 1
9 DMI UA 762 CNRS 32622 0% 100% 1
10 FAK MATH NA 4 74 32622 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 SYMPLECTIC GEOMETRY 42245 2% 8% 17
2 TRANSFORMATION GROUPS 14935 2% 3% 16
3 MATHEMATICAL RESEARCH LETTERS 10569 3% 1% 24
4 JOURNAL OF GEOMETRY AND PHYSICS 9273 3% 1% 27
5 JOURNAL OF DIFFERENTIAL GEOMETRY 8386 2% 1% 21
6 TOPOLOGY 7213 2% 1% 17
7 INVENTIONES MATHEMATICAE 6479 3% 1% 25
8 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 6021 2% 1% 15
9 JOURNAL OF NONLINEAR SCIENCE 5158 1% 2% 10
10 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 4443 1% 1% 11

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 SYMPLECTIC REDUCTION 312876 3% 36% 27 Search SYMPLECTIC+REDUCTION Search SYMPLECTIC+REDUCTION
2 SYMPLECTIC QUOTIENT 306275 1% 72% 13 Search SYMPLECTIC+QUOTIENT Search SYMPLECTIC+QUOTIENT
3 MOMENTUM MAP 300993 3% 34% 27 Search MOMENTUM+MAP Search MOMENTUM+MAP
4 EQUIVARIANT INDEX 217472 1% 67% 10 Search EQUIVARIANT+INDEX Search EQUIVARIANT+INDEX
5 EQUIVARIANT COHOMOLOGY 203176 3% 21% 29 Search EQUIVARIANT+COHOMOLOGY Search EQUIVARIANT+COHOMOLOGY
6 MOMENT MAP 194139 3% 24% 25 Search MOMENT+MAP Search MOMENT+MAP
7 HAMILTONIAN ACTION 179003 2% 37% 15 Search HAMILTONIAN+ACTION Search HAMILTONIAN+ACTION
8 HAMILTONIAN TORUS ACTIONS 146795 1% 75% 6 Search HAMILTONIAN+TORUS+ACTIONS Search HAMILTONIAN+TORUS+ACTIONS
9 MOMENT MAPPING 146795 1% 75% 6 Search MOMENT+MAPPING Search MOMENT+MAPPING
10 SYMMETRIC HAMILTONIAN SYSTEMS 135922 1% 83% 5 Search SYMMETRIC+HAMILTONIAN+SYSTEMS Search SYMMETRIC+HAMILTONIAN+SYSTEMS

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 PARADAN, PE , (2015) QUANTIZATION COMMUTES WITH REDUCTION IN THE NON-COMPACT SETTING: THE CASE OF HOLOMORPHIC DISCRETE SERIES.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 4. P. 955 -990 27 84% 0
2 PARADAN, PE , (2003) SPIN(C)-QUANTIZATION AND THE K-MULTIPLICITIES OF THE DISCRETE SERIES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 36. ISSUE 5. P. 805-845 24 100% 15
3 HOCHS, P , SONG, YL , (2017) ON THE VERGNE CONJECTURE.ARCHIV DER MATHEMATIK. VOL. 108. ISSUE 1. P. 99 -112 18 95% 0
4 GRIGORYEVA, L , ORTEGA, JP , ZUB, SS , (2014) STABILITY OF HAMILTONIAN RELATIVE EQUILIBRIA IN SYMMETRIC MAGNETICALLY CONFINED RIGID BODIES.JOURNAL OF GEOMETRIC MECHANICS. VOL. 6. ISSUE 3. P. 373 -415 23 72% 0
5 VERGNE, M , (2002) GEOMETRIC QUANTIZATION AND SYMPLECTIC REDUCTION.ASTERISQUE. VOL. . ISSUE 282. P. 249-278 25 89% 7
6 PARADAN, PE , (2012) SPIN-QUANTIZATION COMMUTES WITH REDUCTION.JOURNAL OF SYMPLECTIC GEOMETRY. VOL. 10. ISSUE 3. P. 389 -422 18 95% 1
7 PARADAN, PE , (2001) LOCALIZATION OF THE RIEMANN-ROCH CHARACTER.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 187. ISSUE 2. P. 442 -509 22 100% 26
8 MARSDEN, JE , MISIOLEK, G , ORTEGA, JP , PERLMUTTER, M , RATIU, T , (2007) HAMILTONIAN REDUCTION BY STAGES.HAMILTONIAN REDUCTION BY STAGES. VOL. 1913. ISSUE . P. V -+ 55 32% 4
9 KARSHON, Y , TOLMAN, S , (2014) CLASSIFICATION OF HAMILTONIAN TORUS ACTIONS WITH TWO-DIMENSIONAL QUOTIENTS.GEOMETRY & TOPOLOGY. VOL. 18. ISSUE 2. P. 669 -716 20 71% 3
10 JEFFREY, L , KIEM, YH , KIRWAN, FC , WOOLF, J , (2006) INTERSECTION PAIRINGS ON SINGULAR MODULI SPACES OF BUNDLES OVER A RIEMANN SURFACE AND THEIR PARTIAL DESINGULARISATIONS.TRANSFORMATION GROUPS. VOL. 11. ISSUE 3. P. 439-494 24 71% 3

Classes with closest relation at Level 1


Rank Class id link
1 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
2 19910 SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA
3 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
4 29467 CYCLIC POLYGON//EQUIDISSECTION//MECHANICAL LINKAGE
5 34417 GAUGE ORBIT SPACE//NONGENERIC STRATA//ORBIT TYPES
6 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
7 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP
8 6160 HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE
9 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
10 8861 LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES

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