Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

Details Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

2010-06-14

arxiv.org/abs/1006.2706v2

Mathematics

Algebraic Geometry

119 pages, corrected version

Scientific paper

We define a new type of Hall algebras associated e.g. with quivers with polynomial potentials. The main difference with the conventional definition is that we use cohomology of the stack of representations instead of constructible sheaves or functions. In order to take into account the potential we introduce a generalization of theory of mixed Hodge structures, related to exponential integrals. Generating series of our Cohomological Hall algebra is a generalization of the motivic Donaldson-Thomas invariants introduced in arXiv:0811.2435. Also we prove a new integrality property of motivic Donaldson-Thomas invariants.

Affiliated with

Also associated with

No associations

Rating

Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants 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 Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422504