Sheaf-theoretic de Rham isomorphism

Supervised by Ritwik Mukherjee (National Institute of Science Education and Research, Bhubaneswar), 2018

Work done during fall 2018 (August 01, 2018 to November 20, 2018). Requirement for NISER’s course M598.

Studied a sheaf-theoretic proof of de Rham cohomology being a topological invariant. The de Rham cohomology of a smooth manifold was shown to be isomorphic to the Čech cohomology of that manifold with real coefficients.

Download the report

Download the presentation