Futaki Invariants and Yau's Conjecture on the Hull-Strominger system
M Garcia-Fernandez, RG Molina - arXiv preprint arXiv:2303.05274, 2023 - arxiv.org
We find a new obstruction to the existence of solutions of the Hull-Strominger system, which
goes beyond the balanced property of the Calabi-Yau manifold $(X,\Omega) $ and the …
goes beyond the balanced property of the Calabi-Yau manifold $(X,\Omega) $ and the …
Harmonic metrics for the Hull-Strominger system and stability
M Garcia-Fernandez, RG Molina - arXiv preprint arXiv:2301.08236, 2023 - arxiv.org
We investigate stability conditions related to the existence of solutions of the Hull-Strominger
system with prescribed balanced class. We build on recent work by the authors, where the …
system with prescribed balanced class. We build on recent work by the authors, where the …
The Strominger system in the square of a K\" ahler class
TC Collins, S Picard, ST Yau - arXiv preprint arXiv:2211.03784, 2022 - arxiv.org
We study the Strominger system with fixed balanced class. We show that classes which are
the square of a K\" ahler metric admit solutions to the system for vector bundles satisfying the …
the square of a K\" ahler metric admit solutions to the system for vector bundles satisfying the …
Pluriclosed flow and the Hull-Strominger system
We define a natural extension of pluriclosed flow aiming at constructing solutions of the Hull-
Strominger system. We give several geometric formulations of this flow, which yield a series …
Strominger system. We give several geometric formulations of this flow, which yield a series …
The decoupling of moduli about the standard embedding
A bstract We study the cohomology of an elliptic differential complex arising from the
infinitesimal moduli of heterotic string theory in the supergravity approximation. We compute …
infinitesimal moduli of heterotic string theory in the supergravity approximation. We compute …
The Strominger System and Flows by the Ricci Tensor
S Picard - arXiv preprint arXiv:2402.17770, 2024 - arxiv.org
This is a survey on the Strominger system and a geometric flow known as the anomaly flow.
We will discuss various aspects of non-K\" ahler geometry on Calabi-Yau threefolds. Along …
We will discuss various aspects of non-K\" ahler geometry on Calabi-Yau threefolds. Along …
A Kummer construction for Chern–Ricci flat balanced manifolds
Given a non-Kähler Calabi–Yau compact orbifold with isolated singularities endowed with a
Chern–Ricci flat balanced metric, we study, via a gluing construction, the existence of Chern …
Chern–Ricci flat balanced metric, we study, via a gluing construction, the existence of Chern …
Balanced and Aeppli Parameters for the Heterotic Moduli
S Picard, PL Wu - arXiv preprint arXiv:2401.05331, 2024 - arxiv.org
In this paper, we fix the complex structure and explore the moduli space of the heterotic
system by considering two different yet" dual" deformation paths starting from a K\" ahler …
system by considering two different yet" dual" deformation paths starting from a K\" ahler …
Special Lagrangian Cycles and Calabi-Yau Transitions
TC Collins, S Gukov, S Picard, ST Yau - Communications in Mathematical …, 2023 - Springer
We construct special Lagrangian 3-spheres in non-Kähler compact threefolds equipped with
the Fu–Li–Yau geometry. These non-Kähler geometries emerge from topological transitions …
the Fu–Li–Yau geometry. These non-Kähler geometries emerge from topological transitions …
Riemannian curvature identities on almost Calabi–Yau with torsion 6-manifold and generalized Ricci solitons
S Ivanov, N Stanchev - Annali di Matematica Pura ed Applicata (1923-), 2024 - Springer
It is observed that on a compact almost complex Calabi–Yau with torsion 6-manifold the
Nijenhuis tensor is parallel with respect to the torsion connection. If the torsion is closed then …
Nijenhuis tensor is parallel with respect to the torsion connection. If the torsion is closed then …