After a quick review of the wild structure of the complex moduli space of Calabi-Yau 3-folds and the role of geometric transitions in this context (the Calabi-Yau web) the concept of deformation equivalence for geometric transitions is introduced to understand the arrows of the Gross-Reid Calabi-Yau web as deformation-equivalence classes of geometric transitions. Then the focus will be on some results and suitable examples to understand under which conditions it is possible to get simple geometric transitions, which are almost the only well-understood geometric transitions both in mathematics and in physics.

Rossi, M. (2015). Deforming geometric transitions. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 12(5), 1-25 [10.1142/S0219887815500590].

Deforming geometric transitions

Rossi, M
2015

Abstract

After a quick review of the wild structure of the complex moduli space of Calabi-Yau 3-folds and the role of geometric transitions in this context (the Calabi-Yau web) the concept of deformation equivalence for geometric transitions is introduced to understand the arrows of the Gross-Reid Calabi-Yau web as deformation-equivalence classes of geometric transitions. Then the focus will be on some results and suitable examples to understand under which conditions it is possible to get simple geometric transitions, which are almost the only well-understood geometric transitions both in mathematics and in physics.
Articolo in rivista - Articolo scientifico
black hole condensation; Calabi-Yau variety; conifold transition; deformation equivalence of manifolds; deformation of a morphism; geometric transition; vacuum degeneracy problem
English
2015
12
5
1
25
1550059
reserved
Rossi, M. (2015). Deforming geometric transitions. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 12(5), 1-25 [10.1142/S0219887815500590].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/404928
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