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Curve counting invariants around the conifold point. (English) Zbl 1239.14032

The author studies the following question: ‘What kinds of curve counting invariants (or Donaldson-Thomas type invariants) do appear at conifold point?” He investigates the space of certain weak stability conditions on the triangulated category of D0-D2-D6 bound states on a smooth projective Calabi-Yau threefold, and obtains new curve counting invariants on Calabi-Yau threefolds when he associates the Donaldson-Thomas type invariants counting semistable objects. Wall crossing formulae of the new invariants and their interplay with Seidel-Thomas twist are also studied.

MSC:

14J32 Calabi-Yau manifolds (algebro-geometric aspects)
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