recid:328453 - Search Results

Postprint

Torus Knots in Lens Spaces and Topological Strings

Stevan, Sebastien

In: Annales Henri Poincaré, 2015, vol. 16, no. 8, p. 1937-1967

OPEN IN
SONAR

Morrey’s 𝜖-conformality lemma in metric spaces

Fitzi, Martin ; Wenger, Stefan

In: Proceedings of the American Mathematical Society, 2020, vol. 148, no. 10, p. 4285–4298

We provide a simpler proof and slight strengthening of Morrey's famous lemma on $ \varepsilon $-conformal mappings. Our result more generally applies to Sobolev maps with values in a complete metric space, and we obtain applications to the existence of area minimizing surfaces of higher genus in metric spaces. Unlike Morrey's proof, which relies on the measurable Riemann mapping theorem, we...

OPEN IN
SONAR

Overcommuting pairs in groups and 3-manifolds bounding them

Liechti, Livio ; Marché, Julien

In: Journal of the London Mathematical Society, 2020, p. -

We introduce the notions of overcommutation and overcommutation length in groups, and show that these concepts are closely related to representations of the fundamental groups of 3-manifolds and their Heegaard genus. We give many examples including translations in the affine group of the line and provide upper bounds for the overcommutation length in SL2, related to the Steinberg relation.

OPEN IN
SONAR

Analysis method for detecting topological defect dark matter with a global magnetometer network

Masia-Roig, Hector ; A.Smiga, Joseph ; Budker, Dmitry ; Dumont, Vincent ; Gruji, Zoran ; Kim, Dongok ; Kimball, Derek F. Jackson ; Lebedev, Victor ; Monroy, Madeline ; Pustelny, Szymon ; Scholtes, Theo ; Segura, Perrin C. ; Semertzidi, Yannis K. ; Shin, Yun Chang ; Stalnaker, Jason E. ; Sulai, Ibrahim ; Weis, Antoine ; Wickenbrock, Arne

In: Physics of the Dark Universe, 2020, vol. 28, p. 100494

The Global Network of Optical Magnetometers for Exotic physics searches (GNOME) is a network of time-synchronized, geographically separated, optically pumped atomic magnetometers that is being used to search for correlated transient signals heralding exotic physics. GNOME is sensitive to exotic couplings of atomic spins to certain classes of dark matter candidates, such as axions. This work...

OPEN IN
SONAR

Dorronsoro’s theorem in Heisenberg groups

Fässler, Katrin ; Orponen, Tuomas

In: Bulletin of the London Mathematical Society, 2020, vol. 52, no. 3, p. 472–488

A theorem of Dorronsoro from the 1980s quantifies the fact that real‐valued Sobolev functions on Euclidean spaces can be approximated by affine functions almost everywhere, and at all sufficiently small scales. We prove a variant of Dorronsoro's theorem in Heisenberg groups: functions in horizontal Sobolev spaces can be approximated by affine functions which are independent of the last...

OPEN IN
SONAR

Minimal pseudo-Anosov stretch factors on nonoriented surfaces

Liechti, Livio ; Strenner, Balázs

In: Algebraic & Geometric Topology, 2020, vol. 20, no. 1, p. 451–485

We determine the smallest stretch factor among pseudo-Anosov maps with an orientable invariant foliation on the closed nonorientable surfaces of genus 4, 5, 6, 7, 8, 10, 12, 14, 16, 18 and 20. We also determine the smallest stretch factor of an orientation-reversing pseudo-Anosov map with orientable invariant foliations on the closed orientable surfaces of genus 1, 3, 5, 7, 9 and 11. As a ...

OPEN IN
SONAR

On the genus defect of positive braid knots

Liechti, Livio

In: Algebraic & Geometric Topology, 2020, vol. 20, no. 1, p. 403–428

We show that the difference between the Seifert genus and the topological 4–genus of a prime positive braid knot is bounded from below by an affine function of the minimal number of strands among positive braid representatives of the knot. We deduce that among prime positive braid knots, the property of having such a genus difference less than any fixed constant is characterised by finitely...