A. Pigazzini

collaborators

10 papers

math.DG2026

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere

Alexander Pigazzini

Let ${Σ_{a}}$ , $a \in (0, 1/2)$ , be de Oliveira's family of embedded free boundary minimal annuli of revolution in geodesic balls $B (R (a)) \subset S^{3}$ , $R (a) > π /2$ . We prove th…

math.DG2026

The $r^{♯}$ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds

Alexander Pigazzini, Magdalena Toda

We show that the cohomological invariant $r^{♯}$ , introduced in [1] as a lower bound for the off-diagonal holonomy dimension of metric connections with totally skew torsion on p…

math.DG2026

Local Topological Constraints on Berry Curvature in Spin--Orbit Coupled BECs

Alexander Pigazzini, Magdalena Toda

We establish a local topological obstruction to flattening Berry curvature in spin-orbit-coupled Bose-Einstein condensates (SOC BECs), valid even when the global Chern number vanis…

math.DG2026

Cohomological Calibration and Curvature Constraints on Product Manifolds: A Topological Lower Bound

Alexander Pigazzini, Magdalena Toda

We establish a quantitative relationship between mixed de Rham classes and the geometric complexity of metric connections with totally skew torsion on product manifolds where both…

math.DG2026

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $H^{3}$

Alexander Pigazzini

Let $I^£_{a} \subset B^{3} (r (a)) \subset H^{3}$ ( $a > 1/2$ ) be the critical spherical catenoid of the Mori family, a free boundary minimal surface in the geodesic ball. The Medvedev c…

math.DG2026

Robin nullity in mode $∣ k ∣ = 1$ and asymptotic radius of the critical spherical catenoid

Alexander Pigazzini

Medvedev proved that the critical spherical catenoid $S i g m a_{a}$ , the rotationally symmetric free boundary minimal annulus in a geodesic ball $B^{3} (r (a))$ in $H^{3}$ from the family of…

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere

The r♯ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds

Local Topological Constraints on Berry Curvature in Spin--Orbit Coupled BECs

Cohomological Calibration and Curvature Constraints on Product Manifolds: A Topological Lower Bound

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in H3

Robin nullity in mode ∣k∣=1 and asymptotic radius of the critical spherical catenoid

The $r^{♯}$ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $H^{3}$

Robin nullity in mode $∣ k ∣ = 1$ and asymptotic radius of the critical spherical catenoid