Free Video Atiyah Class And Sheaf Counting On Local Calabi Yau 4 Folds From Imsa Class Central

Free Video: Atiyah Class And Sheaf Counting On Local Calabi-Yau 4 Folds From IMSA | Class Central

Free Video: Atiyah Class And Sheaf Counting On Local Calabi-Yau 4 Folds From IMSA | Class Central We prove that in certain cases, when the rank 2 bundle is chosen appropriately, the universal truncated atiyah class of these codimension 2 sheaves reduces to one, defined over the moduli space. Investigate predictions about the modularity of fourfold invariants when the base surface is an elliptic k3. gain insights from harvard university cmsa/university of miami/imsa affiliated speaker artan sheshmani in this 69 minute advanced mathematics presentation.

(PDF) Atiyah Class And Sheaf Counting On Local Calabi Yau Fourfolds | Artan Sheshmani - Academia.edu

(PDF) Atiyah Class And Sheaf Counting On Local Calabi Yau Fourfolds | Artan Sheshmani - Academia.edu Abstract jective surface in an ambient non compact calabi yau fourfold given by the total space of a rank 2 bundle on the sur face. we prove that in certain cases, when the rank 2 bundle is chosen appro priately, the universal truncated atiyah class of these codimension 2 sheaves reduces to one, defined over the moduli space of su. Abstract: we discuss donaldson thomas (dt) invariants of torsion sheaves with 2 dimensional support on a smooth projective surface in an ambient non compact calabi yau fourfold given by the total space of a rank 2 bundle on the surface. This section serves as an interesting application of theorem 2.5, providing the foundations for a sheaf counting theory of local calabi yau fourfolds. to begin with, we start by discussing the particular moduli theory we are interested in this article. Such reduction property of universal atiyah class enables us to relate our fourfold dt theory to a reduced dt theory of a threefold and subsequently then to the moduli spaces of sheaves on the base surface.

(PDF) Counting Surfaces On Calabi-Yau 4-folds I: Foundations

(PDF) Counting Surfaces On Calabi-Yau 4-folds I: Foundations This section serves as an interesting application of theorem 2.5, providing the foundations for a sheaf counting theory of local calabi yau fourfolds. to begin with, we start by discussing the particular moduli theory we are interested in this article. Such reduction property of universal atiyah class enables us to relate our fourfold dt theory to a reduced dt theory of a threefold and subsequently then to the moduli spaces of sheaves on the base surface. Explore developments in enumerative geometry on calabi yau 4 folds, including point counting, curve counting, and surface counting, with connections to string theory and physics. Richard thomas, counting sheaves on calabi yau 4 folds, ii will give an introduction to virtual cycles on moduli spaces. these are the foundations on which a. This will be atiyah class and sheaf counting on local fourfolds 3 carried out for a particular class of examples, where y is the total space of certain line bundles l over an elliptic k3 surface s. In this paper, the main application of theorem 1.1 is the construction of virtual counting invariants of sheaves on a local calabi yau fourfolds, which is presented below.

Atiyah Class and Sheaf Counting on Local Calabi-Yau 4 Folds