# Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class

@article{Bazaikin2021NondiffeomorphicRF, title={Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class}, author={Ya.V. Bazaikin and Anton S. Galaev and Pavel Gumenyuk}, journal={Mathematische Zeitschrift}, year={2021} }

The definition of the Reeb foliation depends upon two real functions satisfying certain conditions. All these foliations are pairwise homeomorphic and have trivial Godbillon-Vey class. We construct explicit examples of the Reeb foliations that are not diffeomorphic. For this purpose we show that a modified Godbillon-Vey class defined by Losik is non-trivial for some Reeb foliations and trivial for some other Reeb foliations. This characteristic class takes values in the second order frame…

## 5 Citations

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We define a product of pairs of double complex spaces Cn m (V,W ,F) for gradig-restricted vertex algebra cohomology of codimension one foliation on a complex curve. We introduce a vertex algebra…

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