$MNFD manifold

Latest papers

1. Every Gromov elliptic domain is meromorphically pseudoconvex math.CV · 14 Oct · 4 hits

   We prove that every Gromov elliptic domain $\Omega$ in a complex manifold has the following property, which we call meromorphic pseudoconvexity: each boundary point has a…

2. Complex generalized spin-c Killing spinors in low dimensions math.DG · 14 Oct · 4 hits

   …for which $\alpha\mu>0$ everywhere. We then move to three dimensions, proving that a spin-c Riemannian three-manifold admits a complex generalized spin-c Killing spinor with complex Killing function $i\mu-\alpha$ if…

3. $\mathbb{Z}_k$-smooth approximation of mod $k$ integral cycles math.DG · 14 Oct · 2 hits

   We prove that every mod $k$ integral cycle $T$ of sufficiently high codimension in an oriented Riemannian manifold $\mathcal{M}$ can be approximated in flat norm by a cycle which is a $\mathbb{Z}_k$-smooth…

4. Smoothness criterion for Fano orbifolds and bases of Lagrangian fibrations math.AG · 14 Oct · 1 hit

   …As an application, we show that if $X\to B$ is a Lagrangian fibration from a compact hyper-K\"ahler manifold and $B$ has quotient singularities, then $B$ is a projective space.

5. Cheng's Theorem in the Spectral Setting math.DG · 14 Oct · 1 hit

   We prove a maximal diameter rigidity theorem for closed 3-dimensional Riemannian manifolds under a spectral lower bound for the Ricci curvature. We show that if $0<\gamma<2$, $K>0$ and…

6. Crystallographic quotients of Artin braid groups and torus bundles over flat $3$-manifolds math.GT · 14 Oct · 4 hits

   …P_n=P_n/[P_n,P_n]\cong\mathbb Z^N$, where $N=\binom n2$. We prove that every compact connected flat $3$-manifold $M$, considered up to affine equivalence, is the base of a geometric torus bundle whose total space…

7. Deformations of Holomorphic $p$-Contact Structures math.AG · 14 Oct · 2 hits

   …Ugarte and in the line-bundle case with K. Broder, in the context of a holomorphic family of compact complex manifolds equipped with a holomorphic family of holomorphic line bundles. Firstly, we show that the existence…

8. Stable atomic vector bundles are 1-obstructed math.AG · 14 Oct · 1 hit

   We prove that every stable atomic (twisted) vector bundle on a projective hyper-K\"ahler manifold is 1-obstructed. In the appendix, we construct a simple atomic object that is not 1-obstructed,…