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Now showing items 1-10 of 35

#### The Picard group of the moduli space of curves with level structures

(2012)

For 4 - L and g large, we calculate the integral Picard groups of the moduli spaces of curves and principally
polarized abelian varieties with level L structures. In particular, we determine the divisibility properties
of ...

#### Higher-Order Signature Cocycles for Subgroups of Mapping Class Groups and Homology Cylinders

(Oxford University Press, 2012)

#### Homology cobordism and Seifert fibered 3-manifolds

(American Mathematical Society, 2014)

It is known that every closed oriented 3-manifold is homology cobordant to a hyperbolic 3-manifold. By contrast we show that many homology cobordism classes contain no Seifert fibered 3-manifold. This is accomplished by ...

#### Wigner-von Neumann type perturbations of periodic Schrödinger operators

(American Mathematical Society, 2015)

Schrödinger operators on the half line. More precisely, the perturbations we consider satisfy a generalized bounded variation condition at infinity and an LP decay condition. We show that the absolutely continuous spectrum ...

#### The second rational homology group of the moduli space of curves with level structures

(2012)

Let Γ be a finite-index subgroup of the mapping class group of a closed genus g surface
that contains the Torelli group. For instance, Γ can be the level L subgroup or the spin mapping
class group. We show that H2(Γ;Q)
∼=
Q ...

#### Cubic fourfolds containing a plane and a quantic del Pezzo surface

(Foundation Compositio Mathematica, 2014)

We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric surface bundle does not have a rational section. This is equivalent to the nontriviality of the Brauer class β of the even ...

#### New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains

(American Physical Society, 2014)

We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson (LR) bound for an isotropic XY chain in a quasiperiodic transversal magnetic field. Instead of the usual effective light ...

#### On the unirationality of del Pezzo surfaces of degree two

(London Mathematical Society, 2014)

Among geometrically rational surfaces, del Pezzo surfaces of degree 2 over a field k containing at least one point are arguably the simplest that are not known to be unirational over k. Looking for k-rational curves on ...

#### Dichotomy for arithmetic progressions in subsets of reals

(American Mathematical Society, 2016)

Let H stand for the set of homeomorphisms φ:[0, 1] → [0, 1]. We prove the following dichotomy for Borel subsets A ⊂ [0, 1]: • either there exists a homeomorphism φ ∈ Hsuch that the image φ(A) contains no 3-term arithmetic ...