Curve counting invariants around the conifold point (Q410095)

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scientific article; zbMATH DE number 6024985
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Curve counting invariants around the conifold point
scientific article; zbMATH DE number 6024985

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    Curve counting invariants around the conifold point (English)
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    17 April 2012
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    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.
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    conifold point
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    Donaldson-Thomas
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    Gromov-Witten
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    Pandharipande-Thomas
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    Calabi-Yau
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    wall-crossing
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    moduli space
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