Documents Hodge Theory

Hodge Theory Complex Manifolds by William M. Faucette Adapted from lectures by Mark Andrea A. Cataldo Structure of Lecture Conjugations Tangent bundles on a complex manifold…

Documents complex analysis with several variables and applications to PDEs

CHAPTER 1 REAL AND COMPLEX MANIFOLDS We shall begin by defining holomorphic functions and the Cauchy-Riemann equa- tions in Cn. In Sections 1.2-1.4 of this chapter we will…

Documents Hodge Theory

Hodge Theory Hodge Theory Complex Manifolds by William M. Faucette Adapted from lectures by Mark Andrea A. Cataldo Structure of Lecture Conjugations Tangent bundles on a…