Reflections on geometry and physics. (English) Zbl 0867.57031

Yau, S.-T. (ed.), Geometry, topology and physics for Raoul Bott. Lectures of a conference in honor of Raoul Bott’s 70th birthday, Harvard University, Cambridge, MA, USA 1993. Cambridge, MA: International Press. Conf. Proc. Lect. Notes Geom. Topol. 4, 423-428 (1995).
I discuss in general terms what has been happening to the theoretical physics/mathematics frontier over the past 15 years. Specifically I refer to the geometric and topological aspects of quantum field theory which have now spread in a variety of directions. New terms such as quantum groups, quantum geometry, quantum cohomology are appearing. These indicate the scope and significance of the interaction, but it is premature in my view to try to force everything into a particular mould. Time will tell what the significant aspects really are and then the right title to adopt will be clearer.
For the entire collection see [Zbl 0826.00038].


57R99 Differential topology