Skip to main content Accessibility help
×
Home

On Some Recent Interactions Between Mathematics and Physics

Published online by Cambridge University Press:  20 November 2018

Raoul Bott
Affiliation:
Department of mathematics and Statistics, Queen's University Kingston, Ontario Canada k7l 3n6
Rights & Permissions[Opens in a new window]

Extract

It gives me quite extraordinary pleasure to have been asked to deliver the Jeffrey-Williams lecture of the Canadian Mathematical Society. The reasons are manifold. First of all Canada was my home for the most formative years of my life — from 16 to 23 — and was in fact the first country willing to take me on as an adopted son. I was of course born in Budapest, but in Europe the geographical accidents of birth are not taken seriously, rather I inherited my father's status and so managed to become stateless "by induction" so to speak.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1985

References

1. Atiyah, M.F. and Bott, R., The Yang-Mills equations over Riemann surfaces. Phil. Trans. Roy. Soc. Lond. A308 (1982), pp. 523615.Google Scholar
2. Donaldson, S.K., An application of gauge theory to four dimensional topology, J. Diffl. Geom. 18, No. 2(1983), pp. 279315.Google Scholar
3. Fried, D., Gauge theories and four manifolds, Math. Sci. Research Inst., Berkeley, (1983).Google Scholar
4. Freedman, M.H., The topology of four dimensional manifolds, J. Diffl. Geom. 17 (1982), pp. 357453.Google Scholar
5. Harder, G., Eine Bemerkung zu einer Arbeit von P. E. Newstead, J. Math. 242 (1970), pp. 16—25.Google Scholar
6. Harder, G. and Narasimhan, M.S., On the cohomology groups of moduli spaces of vector bundles over curves, Math. Ann. 212 (1975), pp. 215248.Google Scholar
7. Jaffe, A. and Glimm, G., Quantum physics, New York: Springer Verlag, (1981).Google Scholar
8. Kirwin, F.C., The cohomology of quotient spaces in algebraic and symplectic geometry I, Thesis, Oxford (1982), to appear in Math. Notes, Princeton Univ. and Press Yellow Series.Google Scholar
9. Mitter, P.K. and Viallet, C.M., On the bundle of connections And the gauge orbit manifold in Yang-Mills theory, Commun. Math. Phys. 79 (1981), pp. 457472.Google Scholar
10. Mumford, D., Geometric invariant theory, Berlin: Springer-Verlag, (1965).CrossRefGoogle Scholar
11. Narasimhan, M.S. and Ramadas, T.R., Geometry of SU(2) gauge fields, Commun. Math. Phys. 67 (1979), pp. 121136.Google Scholar
12. Narasimhan, M.S. and Seshadri, C.S., Stable and unitary vector bundles on a compact Riemann surface, Ann. Math. 82 (1965), pp. 540567.Google Scholar
13. Newstead, P.E., Characteristics classes of stable bundles over an algebraic curve, Trans. Am. Math. Soc. 169 (1972), pp. 337345.Google Scholar
14. Palais, R.S., The geometrization of physics, Lecture notes in Math. Inst, of Math. National Tsing Hua Univ. 1981.Google Scholar
15. Seshadri, C.S., Space of unitary vector bundles on a compact Riemann surface, Ann. Math. 85 (1967), pp. 303336.Google Scholar
16. Snatycki, J., Geometric quantization and quantum mechanics, Appl. Math. Sci. 30, Berlin: Springer-Verlag, (1980).CrossRefGoogle Scholar
17. Taubes, C.H., Self-dual connections on non-self-dual 4-manifolds, J. Diffl. Geom. 17 (1982), pp. 139170.Google Scholar
18. Uhlenbeck, K., Connections with Lp bounds on curvature, Commun. Math. Phys. 83 (1982), pp. 3142.Google Scholar

Full text views

Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.

Total number of HTML views: 0
Total number of PDF views: 373 *
View data table for this chart

* Views captured on Cambridge Core between 20th November 2018 - 27th January 2021. This data will be updated every 24 hours.

Access
Hostname: page-component-898fc554b-pkmq7 Total loading time: 0.639 Render date: 2021-01-27T04:10:34.884Z Query parameters: { "hasAccess": "1", "openAccess": "0", "isLogged": "0", "lang": "en" } Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": false, "newCiteModal": false }

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

On Some Recent Interactions Between Mathematics and Physics
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

On Some Recent Interactions Between Mathematics and Physics
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

On Some Recent Interactions Between Mathematics and Physics
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *