Hereditary properties of co-K\"ahler manifolds

27 Sep 2016  ·  Bazzoni Giovanni, Lupton Gregory, Oprea John ·

We show how certain topological properties of co-K{\"a}hler manifolds derive from those of the K\"ahler manifolds which construct them. We go beyond Betti number results and describe the cohomology algebra structure of co-K\"ahler manifolds... As a consequence, we prove that co-K\"ahler manifolds satisfy the Toral Rank Conjecture: $\dim(H^*(M;\mathbb{Q})) \geq 2^r$, for any $r$-torus $T^r$ which acts almost freely on $M$. read more

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Algebraic Topology Differential Geometry Symplectic Geometry