Rutgers University Department of Physics and Astronomy
Clay Mathematical Institute Lectures by Prof G.Moore
Lectures on Branes, K-theory and RR Charges
Two Variations on the Theme of 2d TFT
Summary of Lecture I
Generalizations
Unoriented Strings
Equivariant Theory I
Equivariant Theory II
G-equivariant Sewing Conditions
Remarks
Sewing Conditions I: Product and Automorphism
G-equivariant Sewing II
G-equivariant Sewing III
Torus Condition
Solutions of Equivariant Conditions
Three Categorical Constructions I
Three Categorical Constructions II
Three Categorical Constructions III
Combining the hree Constructions
The Algebra of Little Loops
The Algebra of Little Loops is a Turaev Algebra
Completion of Proof
Cross-Product Algebras and Orbifolds I
Cross-Product Algebras and Orbifolds II
Algebra of Little Loops and Spacetime Locality
Algebra of Little Loops - Physical Remarks II
Open and Closed G-equivariant Sewing Conditions
Pictorial Representation
Homomorphisam and Centrality Conditions
G-twisted Cardy Conditions
Solving the Conditions with K-theory
Projective Representations
Solution of the Sewing Conditions: Equivariant Case
Solution of G-equivariant Open and Closed: Details I
Solution of G-equivariant Open and Closed: Details II
Solution of G-equivariant Open and Closed: Details III
Equivariant K-theory
Twisted K-theory
Twisted K-theory on G/H
Twisted and Equivariant K-theory
The 2d TFT Orbifold: Closed String Sector
The 2d TFT Orbifold: Boundary States
Remark on the Verlinde Algebra
Part II: The Non-Semisimple Case
Why is it Wrong?
Non-Semisimple Case II
Non-Semisimple Case III
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G.Moore