Abstract
Let me start in the manner I have learned of late from all you Physicists, with a modest list of topics to be covered in these two lectures. My topics are:
-
(i)
Algebraic topology
-
(ii)
Morse theory
-
(iii)
Equivariant Morse theory
-
(iv)
Pertinence of (i), (ii), and (iii) to the solutions of the classical Yang-Mills Equations.
This work was supported in part through funds provided by the National Science Foundation under grant 33-966-7566-2.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
R. Bott and H. Samelson, Applications of the theory of Morse to symmetric spaces, Amer. J. of Math. vol. 80 (1968), pp. 964–1029.
G. Harder, Eine Bemerkung Zu einer Arbeit von P. E. Newstead, Jour. fur Math. 242 (1970), 16–25.
G. Harder and M. S. Narasimhan, On the cohomology groups of moduli spaces of vector bundles over curves, Math. Ann. 212 (1975), 215–248.
D. Mumford and P. E. Newstead, Periods of a moduli space of bundles on curves, Amer. J. Math. 90 (1968), 1201–1208.
M. S. Narasimhan and S. Ramanan, Moduli of vector bundles on a compact Riemann surface, Ann. of Math. 89 (1969), 19–51.
M. S. Narasimhan and S. Ramanan, Vector bundles on curves, Proceedings of the Bombay Colloquium of Algebraic Geometry, 335–346, Oxford University Press, 1969.
M. S. Narasimhan and C. S. Seshadri, Stable and Unitary vector bundles on a compact Riemann surface, Ann. of Math. 82 (1965), 540–567.
P. E. Newstead, Topological properties of some spaces of stable bundles, Topology 6 (1967), 241–262.
P. E. Newstead, Stable bundles of rank 2 and odd degree over a curve of genus 2, Topology 7 (1968), 205–215.
P. E. Newstead, Characteristic classes of stable bundles of rank 2 over an algebraic curve, Trans. Amer. Math. Soc. 169 (1972), 337–345.
P. E. Newstead, Rationality of moduli spaces of stable bundles, to appear.
C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. 85 (1967), 303–336.
C. S. Seshadri, Moduli of TT-vector bundles over an algebraic curve, Questions on Algebraic Varieties, Roma, 1970.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Plenum Press, New York
About this chapter
Cite this chapter
Bott, R. (1980). Morse Theoretic Aspects of Yang-Mills Theory. In: Hooft, G., et al. Recent Developments in Gauge Theories. NATO Advanced Study Institutes Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7571-5_2
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7571-5_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-7573-9
Online ISBN: 978-1-4684-7571-5
eBook Packages: Springer Book Archive