mathematics, the Pontryagin classes, named after Lev Pontryagin, are certain characteristic classes of real vector bundles. The Pontryagin classes lie in cohomology...

Lev Semyonovich Pontryagin (Russian: Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin, first name sometimes anglicized as Leon) (3 September...

In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which...

Thom isomorphism Generalized Gauss–Bonnet theorem Chern class Pontryagin class Stiefel-Whitney class Bott, Raoul and Tu, Loring W. (1982). Differential Forms...

fundamental characteristic classes known at that time (the Stiefel–Whitney class, the Chern class, and the Pontryagin classes) were reflections of the classical...

manifolds have a well-defined Chern class. (See Arakelov geometry) Pontryagin class Stiefel–Whitney class Euler class Segre class Schubert calculus Quantum Hall...

mathematics, the Thom space, Thom complex, or Pontryagin–Thom construction (named after René Thom and Lev Pontryagin) of algebraic topology and differential...

(The variables p k {\displaystyle p_{k}} will often in practice be Pontryagin classes.) The genus Φ {\displaystyle \Phi } of compact, connected, smooth...

Obstruction theory Characteristic class Chern class Chern–Simons form Pontryagin class Pontryagin number Stiefel–Whitney class Poincaré conjecture Cohomology...

homomorphism Chern class Chern–Simons form Chern–Simons theory Chern's conjecture (affine geometry) Pontryagin number Pontryagin class De Rham cohomology...