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Invariants under the actions of the loop algebra
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Classroom Contents
The Global Sections of Chiral de Rham Complexes on Compact Calabi-Yau Manifolds
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- 1 Intro
- 2 Global sections
- 3 Local structure
- 4 Change of the Coordinates
- 5 Sub algebra of W(V)
- 6 Hermitian form
- 7 Globally defined operators
- 8 Holomorphic sections: special cases
- 9 Holomorphic sections: general cases
- 10 Action of algebraic vector fields on W(V)
- 11 Invariants under the actions of Special series and Hamiltonian series
- 12 The action of loop algebra on SW(V)
- 13 Invariants under the actions of the loop algebra
- 14 Sketch proof of the theorem
- 15 A bundle of the super commutative algebras
- 16 The differential operator
- 17 Sketch proof of theorem