Enumerative Geometry And Modularity In Two Modulus K3 Fibered Calabi Yau Threefolds Cmsa

Free Video: Enumerative Geometry And Modularity In Two-Modulus K3-Fibered Calabi-Yau Threefolds ...

Free Video: Enumerative Geometry And Modularity In Two-Modulus K3-Fibered Calabi-Yau Threefolds ... Motivated in part by the modular properties of enumerative invariants of k3 fibered calabi yau threefolds, we introduce a family of 39 calabi yau mirror pairs (x, y) with h1,1(x) = h2,1(y) = 2, labelled by certain integer quadruples (m, i, j, s) with m ≤ 11. A concrete choice of these invariants realizes (almost all of) the known calabi yau geometries with exactly two moduli and allows us to describe completely the structure of the corresponding moduli spaces.

(PDF) Isolated Rational Curves On K3-fibered Calabi-Yau Threefolds

(PDF) Isolated Rational Curves On K3-fibered Calabi-Yau Threefolds This paper aims to explore and solve problems regarding the enumerative geometry and modular form properties of k3 fibered calabi yau three folds. specifically, the paper focuses on how to systematically construct a series of calabi yau mirror pairs (x, y) with two complex structure moduli parameters, where x has a k3 fibered. Motivated in part by the modular properties of enumerative invariants of k3 fibered calabi yau threefolds, we introduce a family of 39 calabi yau mirror pair. We show that there exist infinitely many isolated sections on certain k3 fibered calabi yau threefolds and that the group of algebraic 1 cycles generated by these sections modulo algebraic equivalence is not finitely generated. When x is k3 fibered, modularity is known to hold for vertical d4 brane charge, using the relation to noether lefschetz invariants (more on this in part ii). in that case, no modular anomaly due to κabpb = 0.

Calabi-Yau Threefolds With Fiber E 3 And Positive Euler Characteristic | Download Table

Calabi-Yau Threefolds With Fiber E 3 And Positive Euler Characteristic | Download Table We show that there exist infinitely many isolated sections on certain k3 fibered calabi yau threefolds and that the group of algebraic 1 cycles generated by these sections modulo algebraic equivalence is not finitely generated. When x is k3 fibered, modularity is known to hold for vertical d4 brane charge, using the relation to noether lefschetz invariants (more on this in part ii). in that case, no modular anomaly due to κabpb = 0. This workshop focuses on a structural feature of calabi yau geometry identified a decade ago by doran, harder, and thompson. it is an organizing principle that conjecturally underlies any and all constructions of mirror pairs of calabi yau manifolds. We discuss the enumerative geometry of moduli spaces of sheaves with 2 dimensional support on k3 surfaces in k3 fibered threefolds and 4 folds. In this work, we have uncovered a rather large class of two parameter k3 fibered cy threefolds, but have only scratched the surface of their rich enumerative geometry. A concrete choice of these invariants realizes (almost all of) the known calabi yau geometries with exactly two moduli and allows us to describe completely the structure of the corresponding moduli spaces.

Figure 2.1 From Moduli Spaces Of Curves And Enumerative Geometry Via Topological Recursion ...

Figure 2.1 From Moduli Spaces Of Curves And Enumerative Geometry Via Topological Recursion ... This workshop focuses on a structural feature of calabi yau geometry identified a decade ago by doran, harder, and thompson. it is an organizing principle that conjecturally underlies any and all constructions of mirror pairs of calabi yau manifolds. We discuss the enumerative geometry of moduli spaces of sheaves with 2 dimensional support on k3 surfaces in k3 fibered threefolds and 4 folds. In this work, we have uncovered a rather large class of two parameter k3 fibered cy threefolds, but have only scratched the surface of their rich enumerative geometry. A concrete choice of these invariants realizes (almost all of) the known calabi yau geometries with exactly two moduli and allows us to describe completely the structure of the corresponding moduli spaces.

(PDF) The Enumerative Geometry Of K3 Surfaces And Modular Forms

(PDF) The Enumerative Geometry Of K3 Surfaces And Modular Forms In this work, we have uncovered a rather large class of two parameter k3 fibered cy threefolds, but have only scratched the surface of their rich enumerative geometry. A concrete choice of these invariants realizes (almost all of) the known calabi yau geometries with exactly two moduli and allows us to describe completely the structure of the corresponding moduli spaces.

Chuck Doran | Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds