We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) 2n-dimensional symplectic manifolds (M, κ) endowed with a κ-tamed almost complex structure J and with a nowhere vanishing and normalized section ε of the bundle Λn,0J (M) satisfying the condition δ̄Jε = 0. We study the moduli space M of QIS deformations of a given Calabi-Yau manifold, computing its tangent space and showing that M is non obstructed. Finally, we present several examples of QIS manifolds. © Annales de L'Institut Fourier.
Exotic deformations of Calabi-Yau manifolds / P. de Bartolomeis; A. Tomassini. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - STAMPA. - 63:(2013), pp. 391-415. [10.5802/aif.2764]
Exotic deformations of Calabi-Yau manifolds
DE BARTOLOMEIS, PAOLO;
2013
Abstract
We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) 2n-dimensional symplectic manifolds (M, κ) endowed with a κ-tamed almost complex structure J and with a nowhere vanishing and normalized section ε of the bundle Λn,0J (M) satisfying the condition δ̄Jε = 0. We study the moduli space M of QIS deformations of a given Calabi-Yau manifold, computing its tangent space and showing that M is non obstructed. Finally, we present several examples of QIS manifolds. © Annales de L'Institut Fourier.
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