Class information for:
Level 1: GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7151 1400 23.2 45%


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
7151 1                   GROMOV WITTEN INVARIANTS//ENUMERATIVE GEOMETRY//HURWITZ NUMBERS 1400

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 GROMOV WITTEN INVARIANTS authKW 769691 4% 59% 60
2 ENUMERATIVE GEOMETRY authKW 547154 3% 61% 41
3 HURWITZ NUMBERS authKW 353289 2% 60% 27
4 HODGE INTEGRALS authKW 327140 1% 100% 15
5 GROMOV WITTEN THEORY authKW 310173 1% 89% 16
6 ALGEBRAIC STACKS authKW 278145 2% 49% 26
7 QUANTUM COHOMOLOGY authKW 218053 2% 33% 30
8 MODULI OF CURVES authKW 204613 2% 45% 21
9 CHEN RUAN COHOMOLOGY authKW 176654 1% 90% 9
10 COHOMOLOGICAL FIELD THEORY authKW 176654 1% 90% 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 59458 88% 0% 1227
2 Physics, Mathematical 1987 11% 0% 155
3 Mathematics, Applied 1755 15% 0% 211
4 Physics, Particles & Fields 53 3% 0% 42
5 Physics, Nuclear -0 1% 0% 10
6 Computer Science, Theory & Methods -5 0% 0% 3
7 Computer Science, Software Engineering -5 0% 0% 1
8 Physics, Multidisciplinary -7 1% 0% 13
9 Computer Science, Interdisciplinary Applications -8 0% 0% 1
10 Mechanics -10 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 LEHRSTUHL MATH 6 93046 1% 53% 8
2 MATH SCI MS 3F2 65428 0% 100% 3
3 MATH 36615 60% 0% 838
4 YANGTZ MATH 29078 0% 67% 2
5 KORTEWEG VRIES WISKUNDE 24532 0% 38% 3
6 CLUSTER EXCELLENCE M2CI 21809 0% 100% 1
7 JA DIEUDONNE UMR CNRS 6621 21809 0% 100% 1
8 KORTEWEGDE DE VRIES WISKUNDE 21809 0% 100% 1
9 MATH 2 281 21809 0% 100% 1
10 MATMAT FAG CTQM 21809 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 ALGEBRAIC GEOMETRY 79302 3% 8% 43
2 COMMUNICATIONS IN NUMBER THEORY AND PHYSICS 48566 1% 12% 19
3 GEOMETRY & TOPOLOGY 32569 3% 4% 36
4 ADVANCES IN MATHEMATICS 30534 6% 2% 81
5 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 27974 4% 2% 62
6 COMPOSITIO MATHEMATICA 18808 3% 2% 46
7 INVENTIONES MATHEMATICAE 12828 3% 1% 43
8 MATHEMATICAL RESEARCH LETTERS 11780 2% 2% 31
9 MICHIGAN MATHEMATICAL JOURNAL 11754 2% 2% 28
10 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 11291 1% 3% 19

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 GROMOV WITTEN INVARIANTS 769691 4% 59% 60 Search GROMOV+WITTEN+INVARIANTS Search GROMOV+WITTEN+INVARIANTS
2 ENUMERATIVE GEOMETRY 547154 3% 61% 41 Search ENUMERATIVE+GEOMETRY Search ENUMERATIVE+GEOMETRY
3 HURWITZ NUMBERS 353289 2% 60% 27 Search HURWITZ+NUMBERS Search HURWITZ+NUMBERS
4 HODGE INTEGRALS 327140 1% 100% 15 Search HODGE+INTEGRALS Search HODGE+INTEGRALS
5 GROMOV WITTEN THEORY 310173 1% 89% 16 Search GROMOV+WITTEN+THEORY Search GROMOV+WITTEN+THEORY
6 ALGEBRAIC STACKS 278145 2% 49% 26 Search ALGEBRAIC+STACKS Search ALGEBRAIC+STACKS
7 QUANTUM COHOMOLOGY 218053 2% 33% 30 Search QUANTUM+COHOMOLOGY Search QUANTUM+COHOMOLOGY
8 MODULI OF CURVES 204613 2% 45% 21 Search MODULI+OF+CURVES Search MODULI+OF+CURVES
9 CHEN RUAN COHOMOLOGY 176654 1% 90% 9 Search CHEN+RUAN+COHOMOLOGY Search CHEN+RUAN+COHOMOLOGY
10 COHOMOLOGICAL FIELD THEORY 176654 1% 90% 9 Search COHOMOLOGICAL+FIELD+THEORY Search COHOMOLOGICAL+FIELD+THEORY

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 FANG, BH , LIU, CCM , ZONG, ZY , (2016) THE SYZ MIRROR SYMMETRY AND THE BKMP REMODELING CONJECTURE.ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 20. ISSUE 1. P. 165 -192 46 69% 0
2 ABRAMOVICH, D , FANTECHI, B , (2016) ORBIFOLD TECHNIQUES IN DEGENERATION FORMULAS.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 16. ISSUE 2. P. 519 -579 36 86% 0
3 COATES, T , CORTI, A , IRITANI, H , TSENG, HH , (2015) A MIRROR THEOREM FOR TORIC STACKS.COMPOSITIO MATHEMATICA. VOL. 151. ISSUE 10. P. 1878 -1912 28 100% 4
4 GOULDEN, IP , JACKSON, DM , VAKIL, R , (2011) THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER'S INTERSECTION NUMBER CONJECTURE.ANNALS OF COMBINATORICS. VOL. 15. ISSUE 3. P. 381-436 30 97% 4
5 TSENG, HH , (2010) ORBIFOLD QUANTUM RIEMANN-ROCH, LEFSCHETZ AND SERRE.GEOMETRY & TOPOLOGY. VOL. 14. ISSUE 1. P. 1 -81 27 100% 26
6 CLADER, E , (2017) RELATIONS ON (M)OVER-BAR(G,N) VIA ORBIFOLD STABLE MAPS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 145. ISSUE 1. P. 11 -21 22 100% 0
7 ANDREINI, E , JIANG, YF , TSENG, HH , (2015) GROMOV-WITTEN THEORY OF ROOT GERBES I: STRUCTURE OF GENUS 0 MODULI SPACES.JOURNAL OF DIFFERENTIAL GEOMETRY. VOL. 99. ISSUE 1. P. 1 -45 23 96% 0
8 ABRAMOVICH, D , GRABER, T , VISTOLI, A , (2008) GROMOV-WITTEN THEORY OF DELIGNE-MUMFORD STACKS.AMERICAN JOURNAL OF MATHEMATICS. VOL. 130. ISSUE 5. P. 1337-1398 22 96% 97
9 BRUGALLE, E , (2015) FLOOR DIAGRAMS RELATIVE TO A CONIC, AND GW-W INVARIANTS OF DEL PEZZO SURFACES.ADVANCES IN MATHEMATICS. VOL. 279. ISSUE . P. 438 -500 25 86% 0
10 DO, N , LEIGH, O , NORBURY, P , (2016) ORBIFOLD HURWITZ NUMBERS AND EYNARD-ORANTIN INVARIANTS.MATHEMATICAL RESEARCH LETTERS. VOL. 23. ISSUE 5. P. 1281 -1327 23 88% 0

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 21874 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
4 5901 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY
5 14464 MAPPING CLASS GROUP//JOHNSON HOMOMORPHISM//TORELLI GROUP
6 8154 F THEORY//SUPERSTRING VACUA//SUPERSTRINGS AND HETEROTIC STRINGS
7 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
8 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
9 6160 HIGGS BUNDLES//PARABOLIC BUNDLE//PRINCIPAL BUNDLE
10 10319 MAX ALGEBRA//MAX PLUS ALGEBRA//TROPICAL GEOMETRY

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