|
Harmonic bundles on noncompact curves
Author(s):
Carlos T.
Simpson
Journal:
J. Amer. Math. Soc.
3
(1990),
713-770.
MSC:
Primary 58E20;
Secondary 14C30, 14H60, 32G20
MathSciNet review:
1040197
Retrieve article in:
PDF
This article is available free of charge
References |
Similar articles |
Additional information
References:
-
- [1]
- L. V. Ahlfors, An extension of Schwarz's lemma, Trans. Amer. Math. Soc. 43 (1938), 359-364. MR 1501949
- [2]
- K. Corlette, Flat
-bundles with canonical metrics, J. Differential Geom. 28 (1988), 361-382. MR 965220 (89k:58066) - [3]
- M. Cornalba and P. Griffiths, Analytic cycles and vector bundles on noncompact algebraic varieties, Invent. Math. 28 (1975), 1-106. MR 0367263 (51:3505)
- [4]
- P. Deligne, Equations differentielles à points singuliers reguliers, Lecture Notes in Math., vol. 163, Springer, 1970. MR 0417174 (54:5232)
- [5]
- S. K. Donaldson, Anti self dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3) 50 (1985), 1-26. MR 765366 (86h:58038)
- [6]
- -, Infinite determinants, stable bundles, and curvature, Duke Math. J. 54 (1987), 231-247. MR 885784 (88g:32046)
- [7]
- -, Twisted harmonic maps and self-duality equations, Proc. London Math. Soc. (3) 55 (1987), 127-131. MR 887285 (88g:58040)
- [8]
- J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. MR 0164306 (29:1603)
- [9]
- P. Griffiths, Periods of integrals on algebraic manifolds. I, II, Amer. J. Math. 90 (1968); III, Inst. Hautes Études Sci. Publ. Math. 38 (1970).
- [10]
- P. Griffiths et al., Topics in transcendental algebraic geometry, Princeton Univ. Press, Princeton, NJ, 1984. MR 756842 (86b:14004)
- [11]
- P. Griffiths and W. Schmid, Locally homogeneous complex manifolds, Acta Math. 123 (1969), 253-302. MR 0259958 (41:4587)
- [12]
- R. S. Hamilton, Harmonic maps of manifolds with boundary, Lecture Notes in Math., vol. 471, Springer-Verlag, Berlin and New York, 1975. MR 0482822 (58:2872)
- [13]
- N. J. Hitchin, The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3) 55 (1987), 59-126. MR 887284 (89a:32021)
- [14]
- M. Kashiwara, Vanishing cycles and holonomic systems of differential equations, Lecture Notes in Math., vol. 1016, Springer-Verlag, Berlin and New York, 1983, pp. 134-142. MR 726425 (85e:58137)
- [15]
- B. Malgrange, Polynôme de Bernstein-Sato et cohomologie évanescente, Astérisque 101-102 (1983), 243-267. MR 737934 (86f:58148)
- [16]
- V. B. Mehta and C. S. Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann. 248 (1980), 205-239. MR 575939 (81i:14010)
- [17]
- M. S. Narasimhan and C. S. Seshadri, Stable and unitary bundles on a compact Riemann surface, Ann. of Math. (2) 82 (1965), 540-564. MR 0184252 (32:1725)
- [18]
- W. Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent. Math. 22 (1973), 211-319. MR 0382272 (52:3157)
- [19]
- C. T. Simpson, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, J. Amer. Math. Soc. 1 (1988), 867-918. MR 944577 (90e:58026)
- [20]
- -, Higgs bundles and local systems, preprint, Princeton Univ., 1989.
- [21]
- K. K Uhlenbeck and S. T. Yau, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure Appl. Math. 39 (1986), 257-293. MR 861491 (88i:58154)
- [22]
- S. Zucker, Hodge theory with degenerating coefficients:
cohomology in the Poincaré metric, Ann. of Math. (2) 109 (1979), 415-476. MR 534758 (81a:14002) - [23]
- H. Esnault and E. Viehweg, Logarithmic de Rham complexes and vanishing theorems, Invent. Math. 86 (1986), 161-194. MR 853449 (87j:32088)
Similar Articles:
Retrieve articles in Journal of the American Mathematical Society
with
MSC:
58E20,
14C30, 14H60, 32G20
Retrieve articles in all Journals with
MSC:
58E20,
14C30, 14H60, 32G20
Additional Information:
DOI:
10.1090/S0894-0347-1990-1040197-8
PII:
S0894-0347-1990-1040197-8
Copyright of article:
Copyright
1990,
American Mathematical Society
|