6 citations · 6 across the 2 of their papers we have counts for
7 papers
Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory
Lara B. Anderson, Callum R. Brodie, James Gray
Geometric transitions between Calabi-Yau manifolds have proven to be a powerful tool in exploring the intricate and interconnected vacuum structure of string compactifications. How…
Swampland Conjectures and Infinite Flop Chains
Callum R. Brodie, Andrei Constantin, Andre Lukas +1
We investigate swampland conjectures for quantum gravity in the context of M-theory compactified on Calabi-Yau threefolds which admit infinite sequences of flops. Naively, the modu…
Flops, Gromov-Witten Invariants and Symmetries of Line Bundle Cohomology on Calabi-Yau Three-folds
Callum R. Brodie, Andrei Constantin, Andre Lukas
The zeroth line bundle cohomology on Calabi-Yau three-folds encodes information about the existence of flop transitions and the genus zero Gromov-Witten invariants. We illustrate t…
Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds
Callum R. Brodie, Andrei Constantin
We determine several classes of smooth complex projective surfaces on which Zariski decomposition can be combined with vanishing theorems to yield cohomology formulae for all line…
Index Formulae for Line Bundle Cohomology on Complex Surfaces
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We conjecture and prove closed-form index expressions for the cohomology dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for all compact toric surfaces we…
Machine Learning Line Bundle Cohomology
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi-Yau three-folds. Standard function learning based on simp…