Quantum tori, mirror symmetry and deformation theory

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dc.creatorSoibelman, Yan
dc.date2000-11-21
dc.date2000-11-23
dc.date.accessioned2026-07-25T23:01:07Z
dc.descriptionWe suggest to compactify the universal covering of the moduli space of complex structures by non-commutative spaces. The latter are described by certain categories of sheaves with connections which are flat along foliations. In the case of abelian varieties this approach gives quantum tori as a non-commutative boundary of the moduli space. Relations to mirror symmetry, modular forms and deformation theory are discussed.
dc.descriptionCorrections to Section 4 and references added
dc.identifierhttps://arxiv.org/abs/math/0011162
dc.identifierhttp://arxiv.org/abs/math/0011162
dc.identifierLett.Math.Phys. 56 (2001) 99-125
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/94699
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14J32, 17B35
dc.titleQuantum tori, mirror symmetry and deformation theory
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