FINAL REPORT: GEOMETRY AND ELEMENTARY PARTICLE PHYSICS
The effect on mathematics of collaborations between high-energy theoretical physics and modern mathematics has been remarkable. Mirror symmetry has revolutionized enumerative geometry, and Seiberg-Witten invariants have greatly simplified the study of four manifolds. And because of their application to string theory, physicists now need to know cohomology theory, characteristic classes, index theory, K-theory, algebraic geometry, differential geometry, and non-commutative geometry. Much more is coming. We are experiencing a deeper contact between the two sciences, which will stimulate new mathematics essential to the physicists’ quest for the unification of quantum mechanics and relativity. Our grant, supported by the Department of Energy for twelve years, has been instrumental in promoting an effective interaction between geometry and string theory, by supporting the Mathematical Physics seminar, postdoc research, collaborations, graduate students and several research papers.
- Research Organization:
- Massachusetts Institute of Technology, Cambridge, MA
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- FG02-88ER25066
- OSTI ID:
- 925850
- Report Number(s):
- DOE/ER/25066-FINAL; TRN: US1001871
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL GEOMETRY
ELEMENTARY PARTICLES
GEOMETRY
MIRRORS
PHYSICS
QUANTUM MECHANICS
SYMMETRY
geometry
particle physics
theoretical physics
quantum field theory
string theory
perturbation theory
mathematical physics