M392c Notes: K-theory
نویسنده
چکیده
Part 1. Vector Bundles and Bott Periodicity 2 1. Families of Vector Spaces and Vector Bundles: 8/27/15 2 2. Homotopies of Vector Bundles: 9/1/15 5 3. Abelian Group Completions and K(X): 9/3/15 8 4. Bott’s Theorem: 9/8/15 12 5. The K-theory of X × S2: 9/10/15 15 6. The K-theory of the Spheres: 9/15/15 18 7. Division Algebras Over R: 9/17/15 22 8. The Splitting Principle: 9/22/15 25 9. Flag Manifolds and Fredholm Operators: 9/24/15 28 10. Bott Periodicity and Morse-Bott Theory: 9/29/15 32 11. Bott Periodicity and Morse-Bott Theory II: 10/1/15 35
منابع مشابه
M392c Notes: a Course on Seiberg-witten Theory and 4-manifold Topology
1. Classification problems in differential topology: 1/18/18 1 2. Review of the algebraic topology of manifolds: 1/23/18 4 3. Unimodular forms: 1/25/18 8 4. The intersection form and characteristic classes: 1/30/18 12 5. Tangent bundles of 4-manifolds: 2/1/18 16 6. Rokhlin’s theorem and the homotopy theorem: 2/6/18 19 7. The homotopy theorem: 2/8/18 22 8. The Hodge star: 2/13/18 22 9. Hodge the...
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متن کاملAutobiographical notes
I was born in Zagreb (Croatia) on October 26, 1936. My parents were Regina (née Pavić) (April17, 1916, Zagreb–March 9, 1992, Zagreb) and Cvjetko Trinajstić (September 9, 1913, Volosko–October 29, 1998, Richmond, Australia).
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These notes are intended to give a solid introduction to Probability Theory with a reasonable level of mathematical rigor. Results are carefully stated, and many are proved. Numerous examples and exercises are included to illustrate the applications of the ideas. Many important concepts are already evident in simple situations and the notes include a review of elementary probability theory. c ©...
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