Zobrazeno 1 - 10 of 27 pro vyhledávání: '"Mohammed Abouzaid"'
1
Homological mirror symmetry without correction
Autor: Mohammed Abouzaid
Publikováno v: Journal of the American Mathematical Society. 34:1059-1173
Let X X be a closed symplectic manifold equipped with a Lagrangian torus fibration over a base Q Q . A construction first considered by Kontsevich and Soibelman produces from this data a rigid analytic space Y Y , which can be considered as a variant
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7c756faafd712fe4e87032a0c32041c2
https://doi.org/10.1090/jams/973
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3
Crowd-reflecting: a counterproductive experience of Arab adult learning via technology
Autor: Abeer A. Boreqqah, Enam Mohammed Abouzaid, Mohammed Ahmed Alqatam, Lubna Noaman Alnoer, Amr Mohamed El Koshiry, Ibrahim Youssef Al Youssef, Yassir M Mahgoub, Mohammed Keshar Ahmed, Enas Mahmoud Elrefee, Layla Abdulrahman Alshehri, Maha Saad Alsaeed, Eman Ahmed Maher, Mostafa Samy Amira, Abdulhamid Abdullah Alarfaj, Saleh Alzahrani, Khairi Mahmoud Al-Sababha, Mohammed Amin Almaiah, Raed Ali Bani Aldoomi, Ala’a Yahya Al-Aqtash, Omer Musa Alhassan, Maher aLARFAJ, Eman Abdulaziz Aldoughan, Merfat Ayesh Alsubaie, Mohammad Ahmad Alshoura, Nahid Hassan Hamad, Ahmed Abdel Hamed Kotb, Marwa Mohamed Hassan, Mohmed Abdelmoneim Abdelrahman, Fuad Ahmed Almudhafar, Khaled Hassan Elsherif, Asma Margeni Ali, Ahmed Elsayed Mohamed Batal, Hatem Tawfik Ahmed, Ahmed Zakaria Hegazy, Ahmed Ali Alhazmi, Ghada Nasr Huisen Elmorsy, Awatef Abdulaziz Al Dafar, Tareq Yousef Melhem, Khalel Ibrahim Alhuwaiji, Abdulrahman Essa Al Lily, Atef Abdalla Bahrawi, Ahlam Mohammed Al-Abdullatif, Sobhi Noureldin Ata, Hossam Saad Selim, Hasnaa Hamdy Ali, Mossab Saud Alholiby, Ebrahem Abdullah Al Khateeb, Ahmed Abdelfattah El-Zeki, Amani Mohammed Bukhamseen, Ibrahim Ibrahim Atta, Abeer Farouk Ahmed Ali, Awatif Mahmoud Hamad, Hanem Mostafa Alboray, Abdullah Mohammed Aladsani
Publikováno v: Studies in Continuing Education. 43:86-103
This piece theorises the limitations of transitioning reflection from individualistic to participatory practice. It addresses the question: what are the challenges of introducing crowd-refl...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::676a502929b011a9e19dd6bb25de117d
https://doi.org/10.1080/0158037x.2019.1673354
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4
The Gamma and Strominger–Yau–Zaslow conjectures: a tropical approach to periods
Autor: Sheel Ganatra, Nick Sheridan, Hiroshi Iritani, Mohammed Abouzaid
Publikováno v: Geom. Topol. 24, no. 5 (2020), 2547-2602
ABOUZAID, MOHAMMED, Ganatra, S, IRITANI, HIROSHI & Sheridan, N 2020, ' The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods ', Geometry and Topology, vol. 24, no. 5, pp. 2547–2602 . https://doi.org/10.2140/gt.2020.24.2547
We propose a new method to compute asymptotics of periods using tropical geometry, in which the Riemann zeta values appear naturally as error terms in tropicalization. Our method suggests how the Gamma class should arise from the Strominger-Yau-Zaslo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84f4426bb283a308db0e2d27be4bd3d8
https://projecteuclid.org/euclid.gt/1609815717
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5
Khovanov homology from Floer cohomology
Autor: Ivan Smith, Mohammed Abouzaid
This paper realises the Khovanov homology of a link in the 3-sphere as a Lagrangian Floer cohomology group, establishing a conjecture of Seidel and the second author. The starting point is the previously established formality theorem for the symplect
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f638774a09680de10367f9605da5f8ec
https://www.repository.cam.ac.uk/handle/1810/280001
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6
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
Autor: Mohammed Abouzaid, Denis Auroux, Ludmil Katzarkov
Publikováno v: Publications mathématiques de l'IHÉS. 123:199-282
We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the Strominger-Yau-Zaslow (SYZ) conjecture. Given a hypersurface $H$ in a toric variety $V$ we construct a Landau-G
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c9dddb19932408e192ac5b78976919f
https://doi.org/10.1007/s10240-016-0081-9
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7
On the immersion classes of nearby Lagrangians: Table 1
Autor: Mohammed Abouzaid, Thomas Kragh
Publikováno v: Journal of Topology. 9:232-244
We show that the transfer map on Floer homotopy types associated to an exact Lagrangian embedding is an equivalence. This provides an obstruction to representing isotopy classes of Lagrangian immer ...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ce39365a99eeccbb2ac2285c586c14dc
https://doi.org/10.1112/jtopol/jtv041
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8
Common left- and right-hand divisors of a quaternion integer
Autor: Mohammed Abouzaid, Steve DiMauro, Jarod Alper, Justin Grosslight, Derek A. Smith
Publikováno v: Journal of Pure and Applied Algebra. 217:779-785
Given a quaternion integer α whose norm is divisible by a natural number m , does there exist a quaternion integer β of norm m dividing α on both the left and right? This problem is a case of the “metacommutation problem”, which asks generally
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::78c44b886ede08f6e1fd3dfb3d39c885
https://doi.org/10.1016/j.jpaa.2012.08.003
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9
The symplectic arc algebra is formal
Autor: Ivan Smith, Mohammed Abouzaid
Publikováno v: Duke Math. J. 165, no. 6 (2016), 985-1060
We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology, over fields of characteristic zero. The key ingredient is the construction of a degree one Hochschild cohomology class on a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e84252354de635cd67692733daa65a2
https://www.repository.cam.ac.uk/handle/1810/256187
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10
Simple Homotopy Equivalence of Nearby Lagrangians
Autor: Thomas Kragh, Mohammed Abouzaid
Publikováno v: Acta Math. 220, no. 2 (2018), 207-237
Given a closed exact Lagrangian in the cotangent bundle of a closed smooth manifold, we prove that the projection to the base is a simple homotopy equivalence.
21 pages, 9 figures
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a5c091657e1ca5cbfa1ebb9a220c014
http://arxiv.org/abs/1603.05431
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