Algebraic topology

From Mathematics wiki

Contents 1 Characteristic classes 2 Homology 3 de Rham cohomology 4 K-Theory 5 References

Characteristic classes

• Characteristic class
• Chern class
• Chern character

Homology

• homology group

de Rham cohomology

• de Rham cohomology

K-Theory

• Atiyah-Singer index theorem

References

Hatcher, A., Algebraic Topology, Cambridge Univ. Press (2002) ISBN 0-521-79540-0. Detailed discussion of homology theories for simplicial complexes and manifolds, singular homology, etc.