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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume59
Issue number1
DOIs
StatePublished - Mar 1 2015
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Wall-crossing and invariants of higher rank Joyce-Song stable pairs'. Together they form a unique fingerprint.

Cite this