Publications

Journal Papers:

  1. Symplectic displacement energy for exact Lagrangian immersions, to appear in Kyoto Journal of Mathematics (accepted in 2025).
  2. Immersed Lagrangian Floer theory, with Dominic Joyce. J. Differential Geom. 86 (2010), no. 3, 381-500.
  3. Quasi-isomorphisms of $A_{\infty}$-algebras and oriented planar trees. Illinois J. Math. 51 (2007), no. 2, 325-338.
  4. Morse homology and manifolds with boundary. Commun. Contemp. Math. 9 (2007), no. 3, 301-334.
  5. A connected sum of knots and Fintushel-Stern knot surgery on 4-manifolds. Turkish J. Math. 30 (2006), no. 1, 87-93.
  6. Intersection theory for Lagrangian immersions. Math. Res. Lett. 12 (2005), no. 4, 543-550.
  7. Hofer's symplectic energy and Lagrangian intersections in contact geometry. J. Math. Kyoto Univ. 41 (2001), no. 3, 593-609.
  8. An estimate of genus of links. J. Knot Theory Ramifications 8 (1999), no. 4, 405-414.
Preprints:
  1. Morse homology of manifolds with boundary revisited. preprint (2014). PDF
  2. Cup products on Morse homology of manifolds with boundary. preprint (2011). PDF
  3. Gluing constructions of pseudo-holomorphic discs and desingularization. preprint (2006). PDF
Others:
  1. J-holomorphic curves in symplectic topology. (2018). PDF
  2. Symplectic displacement energy for exact Lagrangian immersions - Manabu Akaho (2016). YouTube
  3. A crash course of Floer homology for Lagrangian intersections. (2003). PDF
Japanese Manuscripts & Talks:

Manabu AKAHO
Tokyo Metropolitan University