We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) $2n$-dimensional symplectic manifolds $(M,\kappa )$ endowed with a $\kappa$-tamed almost complex structure $J$ and with a nowhere vanishing and normalized section $\epsilon$ of the bundle $\Lambda ^{n,0}_J(M)$ satisfying the condition $\overline{\partial }_J\epsilon =0$.

Exotic deformations of Calabi-Yau manifolds / P. de Bartolomeis; A. Tomassini. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - 63:2(2013), pp. 391-415. [10.5802/aif.2764]

### Exotic deformations of Calabi-Yau manifolds

#### Abstract

We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) $2n$-dimensional symplectic manifolds $(M,\kappa )$ endowed with a $\kappa$-tamed almost complex structure $J$ and with a nowhere vanishing and normalized section $\epsilon$ of the bundle $\Lambda ^{n,0}_J(M)$ satisfying the condition $\overline{\partial }_J\epsilon =0$.
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Exotic deformations of Calabi-Yau manifolds / P. de Bartolomeis; A. Tomassini. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - 63:2(2013), pp. 391-415. [10.5802/aif.2764]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2395129
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