Abstract: Given a vector bundle, its characteristic classes are cohomology classes of the base space which measure how 'twisted' the vector bundle is. In other words, they are obstructions to the vector bundle being trivial. One such class is the Euler class, which is Poincare dual to the zero set of a section which is transverse to the zero section of the bundle. We will discuss Thom isomorphism and discuss the relation between Euler class and Thom class. Lastly, we will discuss equivariant Euler class (which will be used in localization formula).

Meeting ID: 997 4840 9440 Passcode: 911104

Abstract: