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Abouzaid, Mohammed

  1. A geometric criterion for generating the Fukaya category
    2010/01/26 by Mohammed Abouzaid, Abouzaid, Mohammed · 6 citations
    Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models
  2. Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
    2012/04/30 by Abouzaid, Mohammed, Auroux, Denis, Katzarkov, Ludmil · 4 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
  3. Symplectic cohomology and Viterbo's theorem
    2013/12/11 by Mohammed Abouzaid, Abouzaid, Mohammed · 4 citations
    Mathematics · #53D40 #55P35 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
  4. A sheaf-theoretic model for SL(2,C) Floer homology
    2017/08/01 by Mohammed Abouzaid, Abouzaid, Mohammed, Ciprian Manolescu +1 · 3 citations
    Mathematics · #53D40 #57M27 (Primary) #57R58 (Secondary) #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
  5. Morse Homology, Tropical Geometry, and Homological Mirror Symmetry for Toric Varieties
    2006/09/29 by Abouzaid, Mohammed · 2 citations
    #14J32 (Primary) #53D40 #58E05 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
  6. A cotangent fibre generates the Fukaya category
    2010/03/23 by Abouzaid, Mohammed · 2 citations
    #53D37 (Primary) #55P50 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #Symplectic Geometry (math.SG)
  7. Arnold Conjecture and Morava K-theory
    2021/03/02 by Mohammed Abouzaid, Andrew J. Blumberg, Abouzaid, Mohammed +1 · 3 citations
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
  8. Local structure of generalized complex manifolds
    2004/12/04 by Mohammed Abouzaid, Mitya Boyarchenko, Abouzaid, Mohammed +1 · 1 citation
    Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG
  9. Framed E2 structures in Floer theory
    2022/10/20 by Abouzaid, Mohammed, Groman, Yoel, Varolgunes, Umut · 2 citations
    #18M75 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG)
  10. Framed bordism and Lagrangian embeddings of exotic spheres
    2008/12/29 by Abouzaid, Mohammed · 1 citation
    #53D12 #57R60 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
  11. A topological model for the Fukaya categories of plumbings
    2009/04/09 by Abouzaid, Mohammed · 1 citation
    #53D40 #57R17 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
  12. On the wrapped Fukaya category and based loops
    2009/07/31 by Abouzaid, Mohammed · 1 citation
    #53D40 #57R17 #Algebraic Topology (math.AT) #FOS: Mathematics #Symplectic Geometry (math.SG)
  13. Functoriality in categorical symplectic geometry
    2022/10/20 by Mohammed Abouzaid, Abouzaid, Mohammed, Nathaniel Bottman +1 · 2 citations
    Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Botulinum Toxin and Related Neurological Disorders
  14. Nearby Lagrangians with vanishing Maslov class are homotopy equivalent
    2010/05/03 by Abouzaid, Mohammed · 1 citation
    #53D12 #53D37 #53D40 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
  15. Exact Lagrangians in plumbings
    2011/07/01 by Abouzaid, Mohammed, Smith, Ivan · 1 citation
    #53D12 #53D37 #FOS: Mathematics #Symplectic Geometry (math.SG)
  16. Family Floer cohomology and mirror symmetry
    2014/04/10 by Abouzaid, Mohammed · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 53D40 #Secondary 14J33 #Symplectic Geometry (math.SG)
  17. Khovanov homology from Floer cohomology
    2015/04/06 by Abouzaid, Mohammed, Smith, Ivan · 1 citation
    #53D40 #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
  18. Simple Homotopy Equivalence of Nearby Lagrangians
    2016/03/17 by Abouzaid, Mohammed, Kragh, Thomas · 1 citation
    #19B99 #53D12 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG)
  19. Homological mirror symmetry without corrections
    2017/03/23 by Abouzaid, Mohammed · 1 citation
    #14G22 #53D37 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
  20. Homological Mirror Symmetry for local SYZ singularities
    2021/07/11 by Abouzaid, Mohammed, Sylvan, Zachary · 1 citation
    #53D37 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
  21. Complex cobordism, Hamiltonian loops and global Kuranishi charts
    2021/10/27 by Abouzaid, Mohammed, McLean, Mark, Smith, Ivan · 1 citation
    #53D35 #53D45 #55N20 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Symplectic Geometry (math.SG)
  22. An axiomatic approach to virtual chains
    2022/01/09 by Mohammed Abouzaid, Abouzaid, Mohammed · 1 citation
    Mathematics · Medicine · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Botulinum Toxin and Related Neurological Disorders