Minabe, Satoshi:COE Research Fellow,Geometry
- Gromov-Witten invariants, Mirror symmetry, Gopakumar-Vafa invariants, Donaldson-Thomas invariants, Nekrasov's partition function, Topological vertex
- Research Interest:
- Geometry, Mathematical Physics
- Research Activities:
- 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 state counting), Donaldson-Thomas invariants (sheaf counting), Nekrasov's partition function (instanton counting). I am also interested in relations between these invariants.