Inhaltszusammenfassung

Chern characters are an important invariant of vector bundles. Three of the main properties of Chern characters for vector bundles are: functoriality, additivity over short exact sequences and multiplicativity over tensor products. The aim of this thesis is to introduce explicitly computable Chern characters for matrix factorizations, which fulfil variants of these three properties of Chern characters for vector bundles. We apply variants of the Chern characters for matrix factorizations als...Chern characters are an important invariant of vector bundles. Three of the main properties of Chern characters for vector bundles are: functoriality, additivity over short exact sequences and multiplicativity over tensor products. The aim of this thesis is to introduce explicitly computable Chern characters for matrix factorizations, which fulfil variants of these three properties of Chern characters for vector bundles. We apply variants of the Chern characters for matrix factorizations also on modules with an eventually periodic free resolution with periodic part given by a matrix factorization and on periodic complexes with periodic part not necessarily given by a matrix factorization.» weiterlesen» einklappen

Autoren

Klassifikation

DDC Sachgruppe:
Mathematik