LECTURES ON THE WITTEN CONJECTURE

 

 

                                                1.  DONALDSON THEORY

                                                      Addendum 1: Chern-Weil Characteristic Classes

                                                      Addendum 2:  The Moduli Spaces (More Details)

                                                      Addendum 3:  "Etc."

                                                      Addendum 4:  The μ-Map

                                                      Addendum 5:  Donaldson Polynomials (More Details)

                                        2.  EQUIVARIANT COHOMOLOGY AND THE WITTEN LAGRANGIAN

                                                      Addendum 6:  The Euler Class of TS2

                                                               Addendum 7: Universal Thom Form for R2

                                                             Addendum 8:  Equivariant Cohomology and HS1(S3)

                                                      Addendum 9:  Universal Thom Class for R2

                                                                    Addendum 10: Mathai-Quillen Form for TS2

                                                                    Addendum 11: Mathai-Quillen Euler Forms for TS2

                                                             Addendum 12: Atiyah-Jeffrey Transformation of the Universal Thom Form (More Details)

                                                      Addendum 13: The Witten Lagrangian (More Details)

                                          3.  SEIBERG-WITTEN THEORY

                                                      Addendum 14: Algebraic Details

                                                      Addendum 15: Seiberg-Witten Invariants (More Details)

                                                      Addendum 16: Finite Energy Seiberg-Witten Solutions

                                                      Addendum 17:  Physics Behind Witten's Conjecture (by Matilde Marcoli)