Atiyah, Michael F.; Bott, Raoul Yang-Mills and bundles over algebraic curves. (English) Zbl 0499.14005 Proc. Indian Acad. Sci., Math. Sci. 90, 11-20 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 81T08 Constructive quantum field theory 14H99 Curves in algebraic geometry Keywords:bundles over algebraic curves; Yang-Mills equations; connections; Yang- Mills functional; Morse theory; cohomology of moduli space; stable bundles PDFBibTeX XMLCite \textit{M. F. Atiyah} and \textit{R. Bott}, Proc. Indian Acad. Sci., Math. Sci. 90, 11--20 (1981; Zbl 0499.14005) Full Text: DOI References: [1] Atiyah, M. F.; Drinfeld, V. G.; Hitchin, N. J.; Manin, Yu I., Construction of instantons, Phys. Lett., 65, 185-187 (1978) · Zbl 0424.14004 · doi:10.1016/0375-9601(78)90141-X [2] Atiyah, M. F.; Hitchin, N. J.; Singer, I. M., Self-duality in four-dimensional Riemannian geometry, Proc. R. Soc. (London), 362, 425-461 (1978) · Zbl 0389.53011 · doi:10.1098/rspa.1978.0143 [3] Atiyah, M. F.; Jones, J. D S., Topological aspects of Yang-Mills theory, Commun. Math. Phys., 61, 97-118 (1978) · Zbl 0387.55009 · doi:10.1007/BF01609489 [4] Bott, R., An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France, 84, 251-281 (1956) · Zbl 0073.40001 [5] Grothendieck, A., Sur la classification des fibres holomorphes sur la sphere de Riemann, Am. J. Math., 79, 121-138 (1957) · Zbl 0079.17001 · doi:10.2307/2372388 [6] Harder, G., Eine Bemerkung Zu einer Arbeit von P E Newstead, J. Math., 242, 16-25 (1970) · Zbl 0219.14016 [7] Harder, G.; Narasimhan, M. S., On the cohomology groups of moduli spaces of vector bundles over curves, Math. Ann., 212, 215-248 (1975) · Zbl 0324.14006 · doi:10.1007/BF01357141 [8] Narasimhan, M. S.; Seshadri, C. S., Stable and unitary vector bundles on a compact Riemann surface, Ann. Math., 82, 540-567 (1965) · Zbl 0171.04803 · doi:10.2307/1970710 [9] Newlander, A.; Nirenberg, L., Complex analytic co-ordinates in almost complex manifolds, Ann. Math., 65, 391-404 (1957) · Zbl 0079.16102 · doi:10.2307/1970051 [10] Newstead, P. E., Topological properties of some spaces of stable bundles, Topology, 6, 241-262 (1967) · Zbl 0201.23401 · doi:10.1016/0040-9383(67)90037-7 [11] Seshadri, C. S., Space of unitary vector bundles on a compact Riemann surface, Ann. Math., 85, 303-336 (1967) · Zbl 0173.23001 · doi:10.2307/1970444 [12] Weil A 1961 Adeles and algebraic groups. Lecture Notes, Princeton · Zbl 0118.15801 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.