2 citations · 2 across the 14 of their papers we have counts for
24 papers
On the atomic decomposition of complete intersection in flag varieties
Boris Alexeev, Leonardo F. Cavenaghi, Giovane Galindo +3
We develop a root-theoretic localization formalism for genus-zero Gromov--Witten invariants of flag varieties and of smooth zero loci of globally generated homogeneous vector bundl…
On the generalized geometry of almost abelian solvmanifolds
Mauro de Andrade Pinto, Letícia Camponês do Brasil Maia, Leonardo F. Cavenaghi +1
We study left-invariant generalized complex structures on almost abelian Lie groups with Lie algebra , where $\mathfrak{h}…
The Cohomology of Solvmanifold SYZ Mirrors
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov +1
This paper investigates the geometric and cohomological properties of non-Kähler SYZ mirror symmetry for dual torus fibrations over solvmanifolds in the sense of Lau, Tseng and Yau…
Atoms meet symbols
Leonardo F. Cavenaghi, Ludmil Katzarkov, Maxim Kontsevich
This paper introduces a novel framework for constructing invariants in -equivariant birational geometry by unifying two recent approaches: the theory of atoms recently developed…
A Gromov-Witten approach to -equivariant birational invariants
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov
In arXiv:2404.19088, we initiated a program linking birational invariants with smooth ones and offering new interpretations of classical invariants, such as the Kervaire-Milnor inv…
A Geometric Realization of Spherical T-Duality via -Diagrams
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov
We relate spherical T-duality for oriented linear -bundles over (the Milnor bundles , which are -principal exactly when or…