192
Compulsory

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Content:

  • Homology and cohomology of manifolds proving Poincare duality isomorphism,
  • Cohomology operations introducing in particular Steenrod squares,
  • Vector bundles, and
  • Characteristic classes, in particular we will introduce Stiefely-Whiteny classes using Steenrod squares.

Introduced methods will be illustrated by applications on different classical problems of algebraic topology.

Content:

  • Homology and cohomology of manifolds proving Poincare duality isomorphism,
  • Cohomology operations introducing in particular Steenrod squares,
  • Vector bundles, and
  • Characteristic classes, in particular we will introduce Stiefely-Whiteny classes using Steenrod squares.

Introduced methods will be illustrated by applications on different classical problems of algebraic topology.

Cross-language

192 151
Compulsory

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