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arXiv · 1711.02901

New bounds on the toral rank with application to cohomologically symplectic spaces

Leopold Zoller
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Abstract

We use Boij-Söderberg theory to give two lower bounds for the dimension of the cohomology of a finite CW-complex in terms of the toral rank and certain Betti numbers of the space. One of our bounds turns out to be particularly effective for c-symplectic spaces, proving the toral rank conjecture for c-symplectic spaces of formal dimension $\leq 8$.

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Leopold Zoller. 2018-01-14. New bounds on the toral rank with application to cohomologically symplectic spaces. https://arxiv.org/abs/1711.02901

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