Bott periodicity and stable quantum classes

Details Bott periodicity and stable quantum classes Bott periodicity and stable quantum classes

2009-12-15

arxiv.org/abs/0912.2948v5

Mathematics

Symplectic Geometry

Large sections rewritten. Slightly expanded arguments. Fixed an error in topology

Scientific paper

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.

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