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NEW BOUNDS ON THE TORAL RANK WITH APPLICATIONS TO COHOMOLOGICALLY SYMPLECTIC SPACES

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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 ≤ 8.

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Authors and Affiliations

  1. Department of Mathematics, Philipps-Universität, Marburg, Germany

    L. ZOLLER

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  1. L. ZOLLER
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Correspondence to L. ZOLLER.

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L. Zoller Supported by the German Academic Scholarship Foundation.

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ZOLLER, L. NEW BOUNDS ON THE TORAL RANK WITH APPLICATIONS TO COHOMOLOGICALLY SYMPLECTIC SPACES. Transformation Groups 25, 625–644 (2020). https://doi.org/10.1007/s00031-019-09525-8

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  • DOI: https://doi.org/10.1007/s00031-019-09525-8

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