Curve counting theories via stable objects II: DT/ncDT flop formula

Details Curve counting theories via stable objects II: DT/ncDT flop formula Curve counting theories via stable objects II: DT/ncDT flop formula

2009-09-28

arxiv.org/abs/0909.5129v3

Mathematics

Algebraic Geometry

50 pages

Scientific paper

The goal of the present paper is to show the transformation formula of Donaldson-Thomas invariants on smooth projective Calabi-Yau 3-folds under birational transformations via categorical method. We also generalize the non-commutative Donaldson-Thomas invariants, introduced by B. Szendr{\H o}i in a local $(-1, -1)$-curve example, to an arbitrary flopping contraction from a smooth projective Calabi-Yau 3-fold. The transformation formula between such invariants and the usual Donaldson-Thomas invariants are also established. These formulas will be deduced from the wall-crossing formula in the space of weak stability conditions on the derived category.

Affiliated with

Also associated with

No associations

Rating

Curve counting theories via stable objects II: DT/ncDT flop formula does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Curve counting theories via stable objects II: DT/ncDT flop formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curve counting theories via stable objects II: DT/ncDT flop formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235449