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Article overview
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Novikov's theorem in higher dimensions? | Sushmita Venugopalan
; | Date: |
12 Jul 2019 | Abstract: | Novikov’s theorem is a rigidity result on the class of taut foliations on
three-manifolds. For higher dimensional manifolds, the existence of a strong
symplectic form has been proposed as an analogue for tautness in order to
achieve similar rigidity. This leads to the natural question of whether strong
symplectic foliations satisfy an analogue of Novikov’s theorem. In this paper,
we construct a five-dimensional manifold with a strong symplectic foliation
that does not satisfy the expected analogue of Novikov’s theorem. | Source: | arXiv, 1907.5876 | Services: | Forum | Review | PDF | Favorites |
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