Chuck Doran 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 ...

Free Video: Enumerative Geometry And Modularity In Two-Modulus K3-Fibered Calabi-Yau Threefolds ... View a pdf of the paper titled enumerative geometry and modularity in two modulus k3 fibered calabi yau threefolds, by charles doran and 2 other authors. 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.

Charles Doran - Videos

Charles Doran - Videos Using the form of this period and batyrev borisov mirror symmetry we explicitly construct the corresponding mirror cy 3 folds with two kaehler moduli and show consistency with the dht conjecture. 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. 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. 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.

(PDF) Global Smoothing Of Calabi-Yau Threefolds

(PDF) Global Smoothing Of 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. 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. 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. Previously we constructed calabi–yau threefolds by a differential geometric gluing method using fano threefolds with their smooth anticanonical k 3 divisors (doi and yotsutani: doubling construction of calabi–yau threefolds. 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.

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