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arXiv · 0912.2948

Bott periodicity and stable quantum classes

Yasha Savelyev
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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.

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Yasha Savelyev. 2009-12-15. Bott periodicity and stable quantum classes. https://doi.org/10.1007/s00029-012-0101-7

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