Wall-crossing and invariants of higher rank Joyce-Song stable pairs

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1 Scopus citations


We introduce a higher rank analog of the Joyce-Song theory of stable pairs. Given a nonsingular projective CalabiYau threefold X, we define the higher rank Joyce-Song pairs given by O⊕rX(−n)→F where F is a pure coherent sheaf with one dimensional support, r >1 and n≫0 is a fixed integer. We equip the higher rank pairs with a Joyce-Song stability condition and compute their associated invariants using the wallcrossing techniques in the category of “weakly” semistable objects.

Original languageEnglish (US)
Pages (from-to)55-83
Number of pages29
JournalIllinois Journal of Mathematics
Issue number1
StatePublished - Mar 1 2015
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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