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Volumn 318, Issue 1, 2000, Pages 1-42

The Yang-Mills flow near the boundary of Teichmüller space

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EID: 0034412892     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080000098     Document Type: Article
Times cited : (2)

References (22)
  • 1
    • 0003209694 scopus 로고
    • The real analytic theory of Teichmüller space
    • Springer-Verlag, Berlin
    • W. Abikoff, "The Real Analytic Theory of Teichmüller Space," Lect. Notes in Math. 820, Springer-Verlag, Berlin, 1980.
    • (1980) Lect. Notes in Math. , vol.820
    • Abikoff, W.1
  • 2
    • 0000979746 scopus 로고
    • The Yang-Mills equations over Riemann surfaces
    • M.F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Phil. Trans. R. Soc. Lond. A 308 (1982), 523-615
    • (1982) Phil. Trans. R. Soc. Lond. A , vol.308 , pp. 523-615
    • Atiyah, M.F.1    Bott, R.2
  • 3
    • 0001679198 scopus 로고
    • On the spectral geometry of spaces with cone-like singularities
    • J. Cheeger, On the spectral geometry of spaces with cone-like singularities, Proc. Nat. Acad. Sci. USA 76 (1979), 2103-2106
    • (1979) Proc. Nat. Acad. Sci. USA , vol.76 , pp. 2103-2106
    • Cheeger, J.1
  • 4
    • 0001976993 scopus 로고
    • On the Hodge theory of Riemannian manifolds
    • "Geometry of the Laplace Operator," Amer. Math. Soc., Providence
    • J. Cheeger, On the Hodge theory of Riemannian manifolds, in "Geometry of the Laplace Operator," Proc. Sympos. Pure Math. 36, Amer. Math. Soc., Providence, 1980, 91-146
    • (1980) Proc. Sympos. Pure Math. , vol.36 , pp. 91-146
    • Cheeger, J.1
  • 5
    • 51249181378 scopus 로고
    • Heat kernel estimates and lower bound of eigenvalues
    • S.-Y. Cheng and P. Li, Heat kernel estimates and lower bound of eigenvalues, Comment. Math. Helvetici 56 (1981), 327-338
    • (1981) Comment. Math. Helvetici , vol.56 , pp. 327-338
    • Cheng, S.-Y.1    Li, P.2
  • 6
    • 0001168858 scopus 로고
    • The topology of the space of stable bundles on a Riemann surface
    • G. Daskalopoulos, The topology of the space of stable bundles on a Riemann surface, J. Diff. Geom. 36 (1992), 699-746
    • (1992) J. Diff. Geom. , vol.36 , pp. 699-746
    • Daskalopoulos, G.1
  • 7
    • 21744454274 scopus 로고    scopus 로고
    • Families of SU(2) representations for mapping cylinders of periodic monodromy
    • G. Daskalopoulos, S. Dostoglou, and R. Wentworth, Families of SU(2) representations for mapping cylinders of periodic monodromy, Proc. Edinburgh Math. Soc. 40 (1997), 383-392
    • (1997) Proc. Edinburgh Math. Soc. , vol.40 , pp. 383-392
    • Daskalopoulos, G.1    Dostoglou, S.2    Wentworth, R.3
  • 8
    • 0040541122 scopus 로고    scopus 로고
    • Geometric quantization for the moduli space of vector bundles with parabolic structure
    • Geometry, Topology and Physics, Campinas, Brazil, June 30-July 7, 1996. B.N. Apanasov, S.B. Bradlow, W.A. Rodrigues, Jr., K.K. Uhlenbeck (Editors), Walter de Gruyter Publishers
    • G. Daskalopoulos and R. Wentworth, Geometric quantization for the moduli space of vector bundles with parabolic structure, in Geometry, Topology and Physics, Proceedings of the First Brazil-USA Workshop, Campinas, Brazil, June 30-July 7, 1996. B.N. Apanasov, S.B. Bradlow, W.A. Rodrigues, Jr., K.K. Uhlenbeck (Editors), Walter de Gruyter Publishers, 1997, 119-155
    • (1997) Proceedings of the First Brazil-USA Workshop , pp. 119-155
    • Daskalopoulos, G.1    Wentworth, R.2
  • 9
    • 0040745227 scopus 로고
    • Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions I
    • G. Daskalopoulos and R. Wentworth, Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions I. Math. Ann. 297 (1993), 417-466
    • (1993) Math. Ann. , vol.297 , pp. 417-466
    • Daskalopoulos, G.1    Wentworth, R.2
  • 10
    • 84972502909 scopus 로고
    • A new proof of a theorem of Narasimhan and Seshadri
    • S.K. Donaldson, A new proof of a theorem of Narasimhan and Seshadri, J. Diff. Geom. 18 (1983), 269-277
    • (1983) J. Diff. Geom. , vol.18 , pp. 269-277
    • Donaldson, S.K.1
  • 11
    • 84959800477 scopus 로고
    • Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles
    • S.K. Donaldson, Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. 50 (1985), 1-26
    • (1985) Proc. London Math. Soc. , vol.50 , pp. 1-26
    • Donaldson, S.K.1
  • 13
    • 84973998920 scopus 로고
    • Spectral convergence on degenerating surfaces
    • L. Ji and R. Wentworth, Spectral convergence on degenerating surfaces, Duke Math. J. 66 (1992), 469-501
    • (1992) Duke Math. J. , vol.66 , pp. 469-501
    • Ji, L.1    Wentworth, R.2
  • 14
    • 0039948281 scopus 로고    scopus 로고
    • Correction to "spectral convergence on degenerating surfaces"
    • L. Ji and R. Wentworth, Correction to "Spectral convergence on degenerating surfaces", Duke Math. J. 90 (1997), 205-207
    • (1997) Duke Math. J. , vol.90 , pp. 205-207
    • Ji, L.1    Wentworth, R.2
  • 15
    • 0000446363 scopus 로고
    • On the Sobolev constant and the p-spectrum of a compact Riemannian manifold
    • P. Li, On the Sobolev constant and the p-spectrum of a compact Riemannian manifold, Ann. Scient. Éc. Norm. Sup. (4) 13 (1980), 451-469
    • (1980) Ann. Scient. Éc. Norm. Sup. (4) , vol.13 , pp. 451-469
    • Li, P.1
  • 16
    • 0642332525 scopus 로고
    • Moduli of vector bundles on curves with parabolic structures
    • V. Mehta and C. Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann. 248 (1980), 205-239
    • (1980) Math. Ann. , vol.248 , pp. 205-239
    • Mehta, V.1    Seshadri, C.2
  • 17
    • 0001690431 scopus 로고
    • Stable and unitary vector bundles on a compact Riemann surface
    • M.S. Narasimhan and C. Seshadri, Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. 82 (1965), 540-567
    • (1965) Ann. of Math. , vol.82 , pp. 540-567
    • Narasimhan, M.S.1    Seshadri, C.2
  • 18
    • 0001046466 scopus 로고
    • On the Yang-Mills heat equation in two and three dimensions
    • J. Råde, On the Yang-Mills heat equation in two and three dimensions, J. Reine. Angew. Math. 431 (1992), 123-163
    • (1992) J. Reine. Angew. Math. , vol.431 , pp. 123-163
    • Råde, J.1
  • 19
    • 84968486257 scopus 로고
    • Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformisation
    • C. Simpson, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformisation, J. Amer. Math. Soc. 1 (1988), 867-918
    • (1988) J. Amer. Math. Soc. , vol.1 , pp. 867-918
    • Simpson, C.1
  • 20
    • 84968515238 scopus 로고
    • Harmonic bundles on noncompact curves
    • C. Simpson, Harmonic bundles on noncompact curves, J. Amer. Math. Soc. 3 (1991), 713-770
    • (1991) J. Amer. Math. Soc. , vol.3 , pp. 713-770
    • Simpson, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.