메뉴 건너뛰기




Volumn 3, Issue , 2007, Pages

Teichmüller theory of bordered surfaces

Author keywords

Algebra of geodesic functions; Graph description of Teichm ller spaces; Hyperbolic geometry

Indexed keywords


EID: 84889234698     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2007.066     Document Type: Article
Times cited : (21)

References (26)
  • 1
    • 0000392235 scopus 로고    scopus 로고
    • Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form
    • Bonahon F., Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form, Ann. Fac. Sci. Toulouse Math. 6 5 (1996), 233-297.
    • (1996) Ann. Fac. Sci. Toulouse Math. 6 , vol.5 , pp. 233-297
    • Bonahon, F.1
  • 5
    • 0007156445 scopus 로고    scopus 로고
    • Quantum mapping class group, pentagon relation, and geodesics
    • Chekhov L., Fock V., Quantum mapping class group, pentagon relation, and geodesics, Proc. Steklov Math. Inst. 226 (1999), 149-163.
    • (1999) Proc. Steklov Math. Inst. , vol.226 , pp. 149-163
    • Chekhov, L.1    Fock, V.2
  • 6
    • 0034561868 scopus 로고    scopus 로고
    • Observables in 3d gravity and geodesic algebras
    • Chekhov L.O., Fock V.V., Observables in 3d gravity and geodesic algebras, Czech. J. Phys. 50 (2000), 1201-1208.
    • (2000) Czech. J. Phys. , vol.50 , pp. 1201-1208
    • Chekhov, L.O.1    Fock, V.V.2
  • 7
    • 41149099785 scopus 로고    scopus 로고
    • On quantizing Teichmüller and Thurston theories
    • European Math. Society Series, to appear, math.AG/0403247
    • Chekhov L., Penner R.C., On quantizing Teichmüller and Thurston theories, in Handbook of Teichmuller Theory, Vol. 1, European Math. Society Series, 2007, to appear, math.AG/0403247.
    • (2007) Handbook of Teichmuller Theory , vol.1
    • Chekhov, L.1    Penner, R.C.2
  • 8
    • 0034349066 scopus 로고    scopus 로고
    • Monodromy of certain Painlevé-VI transcendents and reflection group
    • math.AG/9806056
    • Dubrovin B.A., Mazzocco M., Monodromy of certain Painlevé-VI transcendents and reflection group, Invent. Math. 141 (2000), 55-147, math.AG/9806056.
    • (2000) Invent. Math. , vol.141 , pp. 55-147
    • Dubrovin, B.A.1    Mazzocco, M.2
  • 12
    • 0036004369 scopus 로고    scopus 로고
    • Cluster algebras I: Foundations
    • math.RT/0104151
    • Fomin S., Zelevinsky A., Cluster algebras I: Foundations, J. Amer. Math. Soc. 15 (2002), 497-529, math.RT/0104151.
    • (2002) J. Amer. Math. Soc , vol.15 , pp. 497-529
    • Fomin, S.1    Zelevinsky, A.2
  • 15
    • 0000086776 scopus 로고
    • Invariant functions on Lie groups and Hamiltonian flows of surface group representations
    • Goldman W.M., Invariant functions on Lie groups and Hamiltonian flows of surface group representations, Invent. Math. 85 (1986), 263-302.
    • (1986) Invent. Math. , vol.85 , pp. 263-302
    • Goldman, W.M.1
  • 16
    • 0001739291 scopus 로고    scopus 로고
    • Quantization of Teichmüller spaces and the quantum dilogarithm
    • q-alg/9705021
    • Kashaev R.M., Quantization of Teichmüller spaces and the quantum dilogarithm, Lett. Math. Phys. 43 (1998), 105-115, q-alg/9705021.
    • (1998) Lett. Math. Phys. , vol.43 , pp. 105-115
    • Kashaev, R.M.1
  • 17
    • 33750026792 scopus 로고    scopus 로고
    • On the spectrum of Dehn twists in quantum Teichmüller theory, in Physics and Combinatorics (2000, Nagoya)
    • River Edge, NJ, math.QA/0008148
    • Kashaev R.M., On the spectrum of Dehn twists in quantum Teichmüller theory, in Physics and Combinatorics (2000, Nagoya), World Sci. Publ., River Edge, NJ, 2001, 63-81, math.QA/0008148.
    • (2001) World Sci. Publ. , pp. 63-81
    • Kashaev, R.M.1
  • 18
    • 33745391791 scopus 로고    scopus 로고
    • Closed/open string diagrammatics
    • math.GT/0603485
    • Kaufmann R.M., Penner R.C., Closed/open string diagrammatics, Nucl. Phys. B 748 (2006), 335-379, math.GT/0603485.
    • (2006) Nucl. Phys. B , vol.748 , pp. 335-379
    • Kaufmann, R.M.1    Penner, R.C.2
  • 19
    • 0001178168 scopus 로고
    • Homotopy groups and (2+1)-dimensional quantum gravity
    • Nelson J.E., Regge T., Homotopy groups and (2+1)-dimensional quantum gravity, Nucl. Phys. B 328 (1989), 190-199.
    • (1989) Nucl. Phys. B , vol.328 , pp. 190-199
    • Nelson, J.E.1    Regge, T.2
  • 20
    • 0000073631 scopus 로고
    • Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity
    • Nelson J.E., Regge T., Zertuche F., Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity, Nucl. Phys. B 339 1990, 516-532.
    • (1990) Nucl. Phys. B , vol.339 , pp. 516-532
    • Nelson, J.E.1    Regge, T.2    Zertuche, F.3
  • 21
    • 4444325247 scopus 로고
    • The Weil-Petersson symplectic structure at Thurston's boundary
    • Papadopoulos A., Penner R.C., The Weil-Petersson symplectic structure at Thurston's boundary, Trans. Amer. Math. Soc. 335 1993, 891-904.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , pp. 891-904
    • Papadopoulos, A.1    Penner, R.C.2
  • 22
    • 0000045893 scopus 로고
    • The decorated Teichmüller space of Riemann surfaces
    • Penner R.C., The decorated Teichmüller space of Riemann surfaces, Comm. Math. Phys. 113 (1988), 299-339.
    • (1988) Comm. Math. Phys. , vol.113 , pp. 299-339
    • Penner, R.C.1
  • 23
    • 0003362027 scopus 로고
    • Combinatorics of train tracks
    • Princeton Univ. Press, Princeton, NJ
    • Penner R.C., Harer J.L., Combinatorics of train tracks, Annals of Mathematical Studies, Vol. 125, Princeton Univ. Press, Princeton, NJ, 1992.
    • (1992) Annals of Mathematical Studies , vol.125
    • Penner, R.C.1    Harer, J.L.2
  • 26
    • 0000357493 scopus 로고    scopus 로고
    • On a Poisson structure on the space of Stokes matrices
    • math.AG/9902045
    • Ugaglia M., On a Poisson structure on the space of Stokes matrices, Int. Math. Res. Not. 1999 (1999), no. 9, 473-493, math.AG/9902045.
    • (1999) Int. Math. Res. Not. , vol.1999 , Issue.9 , pp. 473-493
    • Ugaglia, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.