Multivalued Functionals, One-forms and Deformed De Rham Complex

  • DMITRI V. MILLIONSCHIKOV
  • Published 2005
Abstract. We discuss some applications of the Morse-Novikov theory to some problems in modern physics, where appears a non-exact closed 1-form ω(multi-valued functional). We focus mainly our attention to the cohomology H∗ λω (M, R) of the de Rham complex Λ(M) of a compact manifold M with a deformed differential dω = d + λω. Using Witten’s approach to the… CONTINUE READING