Class information for:
Level 1: SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19910 484 18.1 35%


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
953 2             MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 10826
19910 1                   SMALL COVER//QUASITORIC MANIFOLD//ELLIPTIC GENERA 484

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 SMALL COVER authKW 1084519 4% 90% 19
2 QUASITORIC MANIFOLD authKW 850030 3% 84% 16
3 ELLIPTIC GENERA authKW 545261 2% 79% 11
4 POLYHEDRAL PRODUCT authKW 511015 2% 90% 9
5 TORUS MANIFOLD authKW 504708 2% 100% 8
6 MOMENT ANGLE MANIFOLD authKW 485292 2% 77% 10
7 DAVIS JANUSZKIEWICZ SPACE authKW 441620 1% 100% 7
8 ELLIPTIC GENUS authKW 412932 2% 55% 12
9 BOTT TOWERS authKW 378531 1% 100% 6
10 MOMENT ANGLE COMPLEX authKW 343479 1% 78% 7

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 24897 96% 0% 466
2 Mathematics, Applied 1540 23% 0% 112
3 Physics, Mathematical 36 3% 0% 15
4 Multidisciplinary Sciences -0 0% 0% 1
5 Computer Science, Software Engineering -0 0% 0% 2
6 Computer Science, Theory & Methods -1 0% 0% 2
7 Statistics & Probability -1 0% 0% 1
8 Mechanics -4 0% 0% 1
9 Physics, Multidisciplinary -7 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 CMII2MUMR 7373 63089 0% 100% 1
2 CNRS UMR7640 63089 0% 100% 1
3 EDCAT REG STUDIES 63089 0% 100% 1
4 INVEST IPN 63089 0% 100% 1
5 MA 6 2 63089 0% 100% 1
6 MATH CHEMIN CYCLOTRON 63089 0% 100% 1
7 MOSCOW INFORMAT TRANSIT PROBLEMS 63089 0% 100% 1
8 LATAO 31543 0% 50% 1
9 MATH MODELS 29879 1% 16% 3
10 MINATOKITA KU 15771 0% 25% 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 28238 5% 2% 23
2 RUSSIAN MATHEMATICAL SURVEYS 27943 7% 1% 33
3 OSAKA JOURNAL OF MATHEMATICS 24861 6% 1% 27
4 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 21778 4% 2% 19
5 JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 7326 1% 2% 5
6 MOSCOW MATHEMATICAL JOURNAL 7182 2% 1% 8
7 HOMOLOGY HOMOTOPY AND APPLICATIONS 6127 1% 2% 6
8 TOPOLOGY 5846 2% 1% 11
9 TOPOLOGY AND ITS APPLICATIONS 5451 5% 0% 23
10 INTERNATIONAL JOURNAL OF MATHEMATICS 3233 2% 1% 9

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 SMALL COVER 1084519 4% 90% 19 Search SMALL+COVER Search SMALL+COVER
2 QUASITORIC MANIFOLD 850030 3% 84% 16 Search QUASITORIC+MANIFOLD Search QUASITORIC+MANIFOLD
3 ELLIPTIC GENERA 545261 2% 79% 11 Search ELLIPTIC+GENERA Search ELLIPTIC+GENERA
4 POLYHEDRAL PRODUCT 511015 2% 90% 9 Search POLYHEDRAL+PRODUCT Search POLYHEDRAL+PRODUCT
5 TORUS MANIFOLD 504708 2% 100% 8 Search TORUS+MANIFOLD Search TORUS+MANIFOLD
6 MOMENT ANGLE MANIFOLD 485292 2% 77% 10 Search MOMENT+ANGLE+MANIFOLD Search MOMENT+ANGLE+MANIFOLD
7 DAVIS JANUSZKIEWICZ SPACE 441620 1% 100% 7 Search DAVIS+JANUSZKIEWICZ+SPACE Search DAVIS+JANUSZKIEWICZ+SPACE
8 ELLIPTIC GENUS 412932 2% 55% 12 Search ELLIPTIC+GENUS Search ELLIPTIC+GENUS
9 BOTT TOWERS 378531 1% 100% 6 Search BOTT+TOWERS Search BOTT+TOWERS
10 MOMENT ANGLE COMPLEX 343479 1% 78% 7 Search MOMENT+ANGLE+COMPLEX Search MOMENT+ANGLE+COMPLEX

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 GRBIC, J , THERIAULT, S , (2016) HOMOTOPY THEORY IN TORIC TOPOLOGY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 2. P. 185 -251 19 73% 1
2 CHEN, YC , (2014) SMALL COVERS OVER THE PRODUCT OF 3-SIDED PRISM WITH N-SIMPLEX.ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA. VOL. 60. ISSUE 2. P. 293 -308 14 100% 0
3 BAHRI, A , BENDERSKY, M , COHEN, FR , GITLER, S , (2015) OPERATIONS ON POLYHEDRAL PRODUCTS AND A NEW TOPOLOGICAL CONSTRUCTION OF INFINITE FAMILIES OF TORIC MANIFOLDS.HOMOLOGY HOMOTOPY AND APPLICATIONS. VOL. 17. ISSUE 2. P. 137 -160 15 88% 1
4 CAI, L , (2015) NORM MINIMA IN CERTAIN SIEGEL LEAVES.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 15. ISSUE 1. P. 445 -466 12 100% 0
5 GITLER, S , DE MEDRANO, SL , (2013) INTERSECTIONS OF QUADRICS, MOMENT-ANGLE MANIFOLDS AND CONNECTED SUMS.GEOMETRY & TOPOLOGY. VOL. 17. ISSUE 3. P. 1497-1534 12 100% 6
6 KUROKI, S , (2016) AN ORLIK-RAYMOND TYPE CLASSIFICATION OF SIMPLY CONNECTED 6-DIMENSIONAL TORUS MANIFOLDS WITH VANISHING ODD-DEGREE COHOMOLOGY.PACIFIC JOURNAL OF MATHEMATICS. VOL. 280. ISSUE 1. P. 89 -114 13 87% 0
7 BUCHSTABER, V , PANOV, T , RAY, N , (2010) TORIC GENERA.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 16. P. 3207 -3262 17 74% 7
8 BAHRI, A , BENDERSKY, M , COHEN, FR , GITLER, S , (2010) THE POLYHEDRAL PRODUCT FUNCTOR: A METHOD OF DECOMPOSITION FOR MOMENT-ANGLE COMPLEXES, ARRANGEMENTS AND RELATED SPACES.ADVANCES IN MATHEMATICS. VOL. 225. ISSUE 3. P. 1634-1668 16 73% 31
9 CHEN, QT , HAN, F , ZHANG, WP , (2011) GENERALIZED WITTEN GENUS AND VANISHING THEOREMS.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 88. ISSUE 1. P. 1 -40 13 93% 4
10 CHOI, S , MASUDA, M , SUH, DY , (2011) RIGIDITY PROBLEMS IN TORIC TOPOLOGY: A SURVEY.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 275. ISSUE 1. P. 177-190 16 73% 7

Classes with closest relation at Level 1


Rank Class id link
1 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
2 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
3 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
4 9929 ADAMS SPECTRAL SEQUENCE//MORAVA K THEORY//MAY SPECTRAL SEQUENCE
5 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
6 35850 CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC
7 19508 DIRAC OPERATOR//CHARACTERISTIC CONNECTION//PARALLEL SPINORS
8 12903 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY
9 29962 FREE AND CELLULAR G ACTION//FARRELL COHOMOLOGY//GROUP OF SELF HOMOTOPY EQUIVALENCES
10 13008 PERSISTENT HOMOLOGY//DISCRETE MORSE THEORY//COMPUTATIONAL TOPOLOGY

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