메뉴 건너뛰기




Volumn 201, Issue 1, 2008, Pages 83-146

Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 55049091774     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11511-008-0030-7     Document Type: Article
Times cited : (649)

References (42)
  • 1
    • 12744281268 scopus 로고    scopus 로고
    • Cluster algebras. III. Upper bounds and double Bruhat cells
    • A. Berenstein S. Fomin A. Zelevinsky 2005 Cluster algebras. III. Upper bounds and double Bruhat cells Duke Math. J. 126 1 52
    • (2005) Duke Math. J. , vol.126 , pp. 1-52
    • Berenstein, A.1    Fomin, S.2    Zelevinsky, A.3
  • 2
    • 0000956933 scopus 로고
    • Topological methods
    • Elsevier Amsterdam
    • Björner, A., Topological methods, in Handbook of Combinatorics, Vol. 2, pp. 1819-1872. Elsevier, Amsterdam, 1995.
    • (1995) Handbook of Combinatorics, Vol. 2 , pp. 1819-1872
    • Björner, A.1
  • 3
    • 33749528947 scopus 로고    scopus 로고
    • Acyclic quivers of finite mutation type
    • Art. ID 12804.
    • Buan, A. B. & Reiten, I., Acyclic quivers of finite mutation type. Int. Math. Res. Not., (2006), Art. ID 12804.
    • (2006) Int. Math. Res. Not.
    • Buan, A.B.1    Reiten, I.2
  • 4
    • 55049114268 scopus 로고    scopus 로고
    • Lectures at the summer school
    • Luminy, May
    • Chapoton, F., Lectures at the summer school "Cluster Algebras". Luminy, May 2005.
    • (2005) Cluster Algebras
    • Chapoton, F.1
  • 5
    • 55049092192 scopus 로고    scopus 로고
    • Rogers dilogarithm and y-systems, Lecture given at the workshop
    • Leicester, May
    • - Rogers dilogarithm and y-systems, Lecture given at the workshop "Teichmüller Theory and Cluster Algebras". Leicester, May 2006.
    • (2006) Teichmüller Theory and Cluster Algebras
  • 6
    • 55049103360 scopus 로고    scopus 로고
    • Introduction to Thurston's quantum theory
    • (Russian); English translation in Russian Math. Surveys, 58 (2003), 1141-1183
    • L. O. Chekhov R. C. Penner 2003 Introduction to Thurston's quantum theory Uspekhi Mat. Nauk 58 93 138 (Russian); English translation in Russian Math. Surveys, 58 (2003), 1141-1183
    • (2003) Uspekhi Mat. Nauk , vol.58 , pp. 93-138
    • Chekhov, L.O.1    Penner, R.C.2
  • 17
    • 0141457388 scopus 로고    scopus 로고
    • Cluster algebras. II. Finite type classification
    • S. Fomin A. Zelevinsky 2003 Cluster algebras. II. Finite type classification Invent. Math. 154 63 121
    • (2003) Invent. Math. , vol.154 , pp. 63-121
    • Fomin, S.1    Zelevinsky, A.2
  • 19
    • 0347188734 scopus 로고    scopus 로고
    • Y-systems and generalized associahedra
    • S. Fomin A. Zelevinsky 2003 Y-systems and generalized associahedra Ann. of Math. 158 977 1018
    • (2003) Ann. of Math. , vol.158 , pp. 977-1018
    • Fomin, S.1    Zelevinsky, A.2
  • 20
    • 34248372052 scopus 로고    scopus 로고
    • Cluster algebras. IV. Coefficients
    • S. Fomin A. Zelevinsky 2007 Cluster algebras. IV. Coefficients Compos. Math. 143 112 164
    • (2007) Compos. Math. , vol.143 , pp. 112-164
    • Fomin, S.1    Zelevinsky, A.2
  • 25
    • 0000237356 scopus 로고
    • Stability of the homology of the mapping class groups of orientable surfaces
    • J. L. Harer 1985 Stability of the homology of the mapping class groups of orientable surfaces Ann. of Math. 121 215 249
    • (1985) Ann. of Math. , vol.121 , pp. 215-249
    • Harer, J.L.1
  • 26
    • 34250127993 scopus 로고
    • The virtual cohomological dimension of the mapping class group of an orientable surface
    • J. L. Harer 1986 The virtual cohomological dimension of the mapping class group of an orientable surface Invent. Math. 84 157 176
    • (1986) Invent. Math. , vol.84 , pp. 157-176
    • Harer, J.L.1
  • 27
    • 0000587594 scopus 로고
    • On triangulations of surfaces
    • A. Hatcher 1991 On triangulations of surfaces Topology Appl. 40 189 194
    • (1991) Topology Appl. , vol.40 , pp. 189-194
    • Hatcher, A.1
  • 28
    • 0000968788 scopus 로고
    • Algebraic properties of the Teichmüller modular group
    • (Russian); English translation in Soviet Math. Dokl., 29 (1984), 288-291
    • N. V. Ivanov 1984 Algebraic properties of the Teichmüller modular group Dokl. Akad. Nauk SSSR 275 786 789 (Russian); English translation in Soviet Math. Dokl., 29 (1984), 288-291
    • (1984) Dokl. Akad. Nauk SSSR , vol.275 , pp. 786-789
    • Ivanov, N.V.1
  • 29
    • 0038517483 scopus 로고    scopus 로고
    • Mapping class groups
    • North-Holland Amsterdam
    • - Mapping class groups, in Handbook of Geometric Topology, pp. 523-633. North-Holland, Amsterdam, 2002.
    • (2002) Handbook of Geometric Topology , pp. 523-633
    • Ivanov, N.V.1
  • 31
    • 84967782927 scopus 로고
    • A "tits-alternative" for subgroups of surface mapping class groups
    • J. McCarthy 1985 A "Tits-alternative" for subgroups of surface mapping class groups Trans. Amer. Math. Soc. 291 583 612
    • (1985) Trans. Amer. Math. Soc. , vol.291 , pp. 583-612
    • McCarthy, J.1
  • 32
    • 84966248832 scopus 로고
    • Tiling the projective foliation space of a punctured surface
    • L. Mosher 1988 Tiling the projective foliation space of a punctured surface Trans. Amer. Math. Soc. 306 1 70
    • (1988) Trans. Amer. Math. Soc. , vol.306 , pp. 1-70
    • Mosher, L.1
  • 33
    • 0000045893 scopus 로고
    • The decorated Teichmüller space of punctured surfaces
    • R. C. Penner 1987 The decorated Teichmüller space of punctured surfaces Comm. Math. Phys. 113 299 339
    • (1987) Comm. Math. Phys. , vol.113 , pp. 299-339
    • Penner, R.C.1
  • 34
    • 38249002925 scopus 로고
    • Universal constructions in Teichmüller theory
    • R. C. Penner 1993 Universal constructions in Teichmüller theory Adv. Math. 98 143 215
    • (1993) Adv. Math. , vol.98 , pp. 143-215
    • Penner, R.C.1
  • 35
    • 12444255159 scopus 로고    scopus 로고
    • Decorated Teichmüller theory of bordered surfaces
    • R. C. Penner 2004 Decorated Teichmüller theory of bordered surfaces Comm. Anal. Geom. 12 793 820
    • (2004) Comm. Anal. Geom. , vol.12 , pp. 793-820
    • Penner, R.C.1
  • 37
    • 55049085382 scopus 로고    scopus 로고
    • The structure and singularities of quotient arc complexes
    • R. C. Penner 2008 The structure and singularities of quotient arc complexes J. Topol. 1 527 550
    • (2008) J. Topol. , vol.1 , pp. 527-550
    • Penner, R.C.1
  • 39
    • 85008521303 scopus 로고
    • Extended affine root systems. I. Coxeter transformations
    • K. Saito 1985 Extended affine root systems. I. Coxeter transformations Publ. Res. Inst. Math. Sci. 21 75 179
    • (1985) Publ. Res. Inst. Math. Sci. , vol.21 , pp. 75-179
    • Saito, K.1
  • 40
    • 33144457634 scopus 로고    scopus 로고
    • Grassmannians and cluster algebras
    • J. S. Scott 2006 Grassmannians and cluster algebras Proc. London Math. Soc. 92 345 380
    • (2006) Proc. London Math. Soc. , vol.92 , pp. 345-380
    • Scott, J.S.1
  • 41
    • 33846117586 scopus 로고    scopus 로고
    • Recognizing cluster algebras of finite type
    • Research Paper 3
    • A. I. Seven 2007 Recognizing cluster algebras of finite type Electron. J. Combin. 14 35 pp. Research Paper 3
    • (2007) Electron. J. Combin. , vol.14 , pp. 35
    • Seven, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.