Relevant bibliographies by topics / Torus fibrations

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Academic literature on the topic 'Torus fibrations'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Torus fibrations"

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Nicaise, Johannes, Chenyang Xu, and Tony Yue Yu. "The non-archimedean SYZ fibration." Compositio Mathematica 155, no. 5 (2019): 953–72. http://dx.doi.org/10.1112/s0010437x19007152.

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We construct non-archimedean SYZ (Strominger–Yau–Zaslow) fibrations for maximally degenerate Calabi–Yau varieties, and we show that they are affinoid torus fibrations away from a codimension-two subset of the base. This confirms a prediction by Kontsevich and Soibelman. We also give an explicit description of the induced integral affine structure on the base of the SYZ fibration. Our main technical tool is a study of the structure of minimal dlt (divisorially log terminal) models along one-dimensional strata.
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ANDREAS, B., D. HERNÁNDEZ RUIPÉREZ, and D. SÁNCHEZ GÓMEZ. "STABLE SHEAVES OVER K3 FIBRATIONS." International Journal of Mathematics 21, no. 01 (2010): 25–46. http://dx.doi.org/10.1142/s0129167x10005908.

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We construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which describes the sheaves in terms of spectral data similar to the construction for elliptic fibrations. On K3 fibered Calabi–Yau threefolds we show that the Fourier-Mukai transform induces an embedding of the relative Jacobian of spectral line bundles on spectral covers into the moduli space of sheaves of given invariants. This makes the moduli space of spectral sheaves a generic torus fibration over the moduli space of curves of the given arithmetic genus on the Calabi–Yau manifold.
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Muñoz, Vicente. "Torus rational fibrations." Journal of Pure and Applied Algebra 140, no. 3 (1999): 251–59. http://dx.doi.org/10.1016/s0022-4049(98)00004-8.

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RUAN, WEI-DONG. "GENERALIZED SPECIAL LAGRANGIAN TORUS FIBRATION FOR CALABI–YAU HYPERSURFACES IN TORIC VARIETIES I." Communications in Contemporary Mathematics 09, no. 02 (2007): 201–16. http://dx.doi.org/10.1142/s021919970700240x.

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In this paper we start the program of constructing generalized special Lagrangian torus fibrations for Calabi–Yau hypersurfaces in toric varieties near the large complex limit, with respect to the restriction of a toric metric on the toric variety to the Calabi–Yau hypersurface. The construction is based on the deformation of the standard toric generalized special Lagrangian torus fibration of the large complex limit X0. In this paper, we will deal with the region near the smooth top dimensional torus fibers of X0 and its mirror dual situation — the region near the 0-dimensional fibers of X0.
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Castaño Bernard, Ricardo, and Diego Matessi. "Lagrangian 3-torus fibrations." Journal of Differential Geometry 81, no. 3 (2009): 483–573. http://dx.doi.org/10.4310/jdg/1236604343.

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Donagi, Ron, and Tony Pantev. "Torus fibrations, gerbes, and duality." Memoirs of the American Mathematical Society 193, no. 901 (2008): 0. http://dx.doi.org/10.1090/memo/0901.

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7

Dathe, Hamidou, and Philippe Rukimbira. "Fibrations and contact structures." International Journal of Mathematics and Mathematical Sciences 2005, no. 4 (2005): 555–60. http://dx.doi.org/10.1155/ijmms.2005.555.

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SALVAI, MARCOS. "AFFINE MAXIMAL TORUS FIBRATIONS OF A COMPACT LIE GROUP." International Journal of Mathematics 13, no. 03 (2002): 217–25. http://dx.doi.org/10.1142/s0129167x02001216.

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By a generalization of the method developed by Gluck and Warner to characterize the oriented great circle fibrations of the three-sphere, we give, for any compact connected semisimple Lie group G, a general procedure to obtain the continuous fibrations of G by Weyl-oriented affine maximal tori, find conditions for smoothness and provide infinite dimensional spaces of concrete examples.
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Evans, Jonathan David, and Mirko Mauri. "Constructing local models for Lagrangian torus fibrations." Annales Henri Lebesgue 4 (May 27, 2021): 537–70. http://dx.doi.org/10.5802/ahl.80.

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Fujita, Hajime, Mikio Furuta, and Takahiko Yoshida. "Torus Fibrations and Localization of Index II." Communications in Mathematical Physics 326, no. 3 (2014): 585–633. http://dx.doi.org/10.1007/s00220-014-1890-7.

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Books on the topic "Torus fibrations"

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1963-, Pantev Tony, ed. Torus fibrations, gerbes, and duality. American Mathematical Society, 2008.

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Evans, Jonny. Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023.

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Evans, Jonny. Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023.

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Evans, Jonny. Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023.

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Book chapters on the topic "Torus fibrations"

1

Ruddat, Helge, and Ilia Zharkov. "Compactifying Torus Fibrations Over Integral Affine Manifolds with Singularities." In 2019-20 MATRIX Annals. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62497-2_37.

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Köhler, Kai. "Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces." In Regulators in Analysis, Geometry and Number Theory. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1314-7_7.

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Voisin, Claire. "Torsion Points of Sections of Lagrangian Torus Fibrations and the Chow Ring of Hyper-Kähler Manifolds." In Geometry of Moduli. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94881-2_10.

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4

"Lagrangian fibrations." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.003.

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"Focus-focus singularities." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.007.

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"The Arnold-Liouville theorem." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.002.

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"Surgery." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.010.

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"Global action-angle coordinates and torus actions." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.004.

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"Index." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.023.

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"References." In Lectures on Lagrangian Torus Fibrations. Cambridge University Press, 2023. http://dx.doi.org/10.1017/9781009372671.022.

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Conference papers on the topic "Torus fibrations"

1

KONTSEVICH, MAXIM, and YAN SOIBELMAN. "HOMOLOGICAL MIRROR SYMMETRY AND TORUS FIBRATIONS." In Proceedings of the 4th KIAS Annual International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799821_0007.

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RUAN, WEI-DONG. "LAGRANGIAN TORUS FIBRATIONS AND MIRROR SYMMETRY OF CALABI-YAU MANIFOLDS." In Proceedings of the 4th KIAS Annual International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799821_0011.

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