The $${\mathcal {L}}_B$$LB-cohomology on compact torsion-free $$\mathrm {G}_2$$G2 manifolds and an application to ‘almost’ formality
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DOI: 10.1007/s10455-018-9629-x
Abstract: We study a cohomology theory $$H^{\bullet }_{\varphi }$$Hφ∙, which we call the $${\mathcal {L}}_B$$LB-cohomology, on compact torsion-free $$\mathrm {G}_2$$G2 manifolds. We show that $$H^k_{\varphi } \cong H^k_{\mathrm {dR}}$$Hφk≅HdRk for $$k \ne 3, 4$$k≠3,4, but that $$H^k_{\varphi… read more here.
Keywords: torsion free; compact torsion; cohomology; mathrm ... See more keywords