The mirror map and other natural tangent tensors

R. Albuquerque

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arXiv · 2506.10881

The mirror map and other natural tangent tensors

R. Albuquerque

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Abstract

We review the intrinsic geometry of the tangent bundle of a differentiable manifold $M$, aside from any non-natural structures. We recall the properties of the mirror map $B\in\mathrm{End}(TTM)$, known also as the canonical endomorphism or the almost-tangent structure, solve some cohomological questions and raise other induced by the $\mathrm{d}_B$ operator.

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R. Albuquerque. 2025-06-12. The mirror map and other natural tangent tensors. https://arxiv.org/abs/2506.10881

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