Research Interest of Satoshi Minabe

      Publication 1: Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration (URL)
      Publication 2: Flop invariance of the topological vertex (URL)
      Publication 3: A Combinatorial study on quiver varieties (URL)

    URL of Research: http://www2.yukawa.kyoto-u.ac.jp/~minabe/

Statement of Interest:


  My research fields are algebraic geometry and mathematical physics 
related to topological string/field theory. 
Especially, I am interested in enumerative invariants 
defined over the moduli spaces and their relation with physics: 
e.g., Gromov-Witten invariants (curve counting), 
Gopakumar-Vafa invariants (BPS states counting),
Donaldson-Thomas invariants (sheaf counting), 
Nekrasov's partition function (instanton counting).