Publications

Journal Papers:

  1. Immersed Lagrangian Floer theory, with Dominic Joyce. J. Differential Geom. 86 (2010), no. 3, 381-500.
  2. Quasi-isomorphisms of $A_{\infty}$-algebras and oriented planar trees. Illinois J. Math. 51 (2007), no. 2, 325-338.
  3. Morse homology and manifolds with boundary. Commun. Contemp. Math. 9 (2007), no. 3, 301-334.
  4. A connected sum of knots and Fintushel-Stern knot surgery on 4-manifolds. Turkish J. Math. 30 (2006), no. 1, 87-93.
  5. Intersection theory for Lagrangian immersions. Math. Res. Lett. 12 (2005), no. 4, 543-550.
  6. Hofer's symplectic energy and Lagrangian intersections in contact geometry. J. Math. Kyoto Univ. 41 (2001), no. 3, 593-609.
  7. An estimate of genus of links. J. Knot Theory Ramifications 8 (1999), no. 4, 405-414.
Preprints:
  1. Symplectic displacement energy for exact Lagrangian immersions. preprint (2015). PDF
  2. Morse homology of manifolds with boundary revisited. preprint (2014). PDF
  3. Cup products on Morse homology of manifolds with boundary. preprint (2011). PDF
  4. Gluing constructions of pseudo-holomorphic discs and desingularization. preprint (2006). PDF
  5. Floer homology and concave ends. preprint (2006), partially contained in "Morse homology and manifolds with boundary".
Others:
  1. J-holomorphic curves in symplectic topology. (2018). PDF
  2. Introduction to Lagrangian Floer homology. Homological Mirror Symmetry Seminar, at Mathematical Institute, Oxford (2006).
  3. A crash course of Floer homology for Lagrangian intersections. (2003). PDF
Japanese Manuscripts & Talks:

Manabu AKAHO
Tokyo Metropolitan University