WebChern–Weil theory, b-divisors Contents 1 Introduction 2564 2 Analytic preliminaries 2572 3 Almost asymptotically algebraic singularities 2588 4 b-divisors 2598 5 The b-divisor associated to a psh metric 2601 6 The line bundle of Siegel–Jacobi forms 2610 A On the non-continuity of the volume function 2616 WebChapter 1 Chern-Weil Theory for Characteristic Classes 1 1.1 Review of the de Rham Cohomology Theory 1 1.2 Connections on Vector Bundles 3 1.3 The Curvature of a …

Chern–Simons theory - Wikipedia

WebChern classes of a representation given by Atiyah in [8] and we define the Chern and Cheeger-Chern-Simons classes of a representation of the fundamental group of a manifold. We assume basic familiarity with group homology, representation theory, fibre bundles and Chern-Weil theory, see [9, 21, 13] for more details. 2.1. Principal (flat) bundles. WebTheorem (Chern-Weil) Let E be a vector bundle of rank k over a manifold M, ra connection on E, and P a homogeneous invariant polynomial of degree n on … how did the germans sink the lusitania

Chern Character in Twisted and Equivariant K-Theory

WebJun 15, 2024 · The orbifold K-theory K o r b ( X) is the Grothendieick group of isomorphism classes of orbifold vector bundles on X. If X is a global quotient [ X / G], then K o r b ( X) is just the equivariant K-theory K G ( X) in [11]. For a compact almost complex orbifold X, Adem, Ruan and Zhang in [4] defined a string product on K o r b ( ∧ X, τ), the ... WebJan 7, 2010 · Chern-Weil theory. The comprehensive theory of Chern classes can be found in [11], Ch. 12. We will outline here the definition and properties of the first Chern … WebChern-Weil theory Chern-Weil homomorphism secondary characteristic class differential characteristic class Higher abelian differential cohomology differential function complex differential orientation ordinary differential cohomology differential Thom class differential characters, Deligne cohomology circle n-bundle with connection, how many states require financial literacy