The Net Advance of Physics:

GEOMETRY and TOPOLOGY

DIFFERENTIAL GEOMETRY:

• General and Various:
  • Self-Avoiding Random Manifolds, by Francois David, 95/11
  • Quantum Theory of Large Systems of Non-Relativistic Matter, by J. Froehlich, U.M. Studer and E. Thiran, 95/08
  • Riemann Surfaces, (Chapter 5 of "Two Dimensional QCD is a String Theory", thesis by Soeren Koester), 94/08 page 52.
  • Introduction to Duality, by Amit Giveon and Martin Rocek, 94/06
  • Non-Commutative Geometry
• Cartan Differential Forms:
  • Bill Burke's Differential Forms Page
• Riemannian Geometry:
  • General:
    • The Net Advance of Physics: GENERAL RELATIVITY
  • Torsion:
    • Quantum Theory of Large Systems of Non-Relativistic Matter, by J. Froehlich, et al., 95/08: (page 12)
    • The Net Advance of Physics: DISLOCATIONS
  • The Net Advance of Physics: GENERAL RELATIVITY
• Spinors:
  • Introduction to Division Algebras, Sphere Algebras, and Twistors, by Martin Cederwall, 93/10:
  • The Net Advance of Physics: SPINORS

INTEGRAL GEOMETRY AND GEOMETRIC PROBABILITY:

• Minkowski Functionals in Cosmology, by J. Schmalzing et al., 95/08

NONCOMMUTATIVE/QUANTUM GEOMETRY:

• The Net Advance of Physics: QUANTUM SPACES

TOPOLOGY AND TOPOLOGICAL FIELD THEORY:

• Braids:
  • The Net Advance of Physics: KNOTS AND BRAIDS
• Knots:
  • The Net Advance of Physics: KNOTS AND BRAIDS
• Topological Field Theory:
  • Introduction to Seiberg-Witten Theory and its Stringy Origin, by W. Lerche, 96/11:
  • Brief Resume of Seiberg-Witten Theory, by R. Flume et al., 96/11:
  • Topological Field Theory and Abelian Gauge Theory, by George Thompson, 95/11
  • Topological Quantum Field Theory, by J. M. F. Labastida, 95/11
  • Notes on Seiberg-Witten Gauge Theory, by Matilde Marcolli, 95/09

To contribute to this page, write Norman Redington, redingtn@mit.edu