Bott periodicity and stable quantum classes

Abstract

We use Bott periodicity to relate previously defined quantum classes to certain "exotic Chern classes" on $BU$. This provides an interesting computational and theoretical framework for some Gromov-Witten invariants connected with cohomological field theories. This framework has applications to study of higher dimensional, Hamiltonian rigidity aspects of Hofer geometry of ${\mathbb{CP}}^n$, one of which we discuss here.

prepublication version

References in corpus (2)

• Floer homology of families I
• Quantum characteristic classes and the Hofer metric