The interplay between mathematics and physics that has so often yielded rich fruit over the centuries has of late been much in evidence, what with the work of such figures as Witten and Kontsevich, to name but two obvious luminaries. Arguably this ecumenical view of things underlay, and underlies, the work of many others who are perhaps seen as pure mathematicians exclusively. It is entertaining to speculate about the reasons for the ensuing separation of the fields; perhaps the catastrophe of World War II and the various diasporas of European scholars are part of the reason, coupled with the increase in intrinsic difficulty in any number of areas of mathematics that precipitated a narrowing of specialties and a prevailing orientation to more compact problems and research programs. Adopting a more polemical point of view, perhaps, and borrowing the marvelous if somewhat controversial imagery of frogs and birds introduced by Freeman Dyson in the February issue of the Notices of the AMS , one might posit that, with birds not only being rarer than frogs but having been scattered by the events of the middle to late twentieth century, frogs had their way in mathematics — ergo, narrower specialties. But birds will be birds, and in due course borders between mathematical areas were vaulted by a few trailblazers, with Grothendieck possibly the most obvious example.
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Self-citations, author citations, HEPData links. Learn more. Seminars New. Paul S. Tom Bridgeland. Citations per year 1 0. References Figures 0. Work in progress. Mohammed Abouzaid. On homological mirror symmetry for toric varieties. PhD thesis, University of Chicago.
On the Fukaya categories of higher genus surfaces. Steven S. Gubser Harvard U. Juan Martin Maldacena Princeton, Inst. Advanced Study and Harvard U. DOI: Ofer Hanany, Kenneth A. Intriligator, N. Seiberg, and M. Amihay Hanany Princeton, Inst. Advanced Study. Kenneth A. Intriligator Princeton, Inst. Seiberg Rutgers U. Strassler Princeton, Inst. B Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves. Selecta Math. Monograph Series in Mathematics Publishing Co.
Taylor and Vladimir Scheffer. Annals of. Physics Luis Bost, Gregory W. Moore, Philip C. Nelson and Cumrun. Bost Ecole Normale Superieure.
Gregory W. Moore Harvard U. Philip C. Nelson Harvard U. Cumrun Vafa Harvard U. Bost Harvard U. The L. Critical points of smooth functions, and their normal forms. Nauk, 30 5 High Energy Phys.
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Self-citations, author citations, HEPData links. Learn more. Seminars New. Paul S.
Dirichlet Branes and Mirror Symmetry
Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. Paul S. Research in string theory over the last several decades has yielded a rich interaction with algebraic geometry.