Sebastian Heller

activity

20092026

most citedBranes through finite group actions

21 citations · 115 across the 37 of their papers we have counts for

collaborators

Showing 2021Show all

6 papers · 1 filter

math.AG2021

On the existence of holomorphic curves in compact quotients of $SL (2, C)$

Indranil Biswas, Sorin Dumitrescu, Lynn Heller +1

We prove the existence of a pair $(Σ, Γ)$ , where $Σ$ is a compact Riemann surface with $genus (Σ) \geq 2$ , and $Γ \subset S L (2, C)$ is a cocompact…

math.AG2021

Branched SL(r,C)-opers

Indranil Biswas, Sorin Dumitrescu, Sebastian Heller

We define the branched analog of SL(r,C)-opers and investigate their properties. For the usual SL(r,C)-opers, the underlying holomorphic vector bundle is independent of the opers.…

math.DG2021★ 1 cited

Complete families of embedded high genus CMC surfaces in the 3-sphere (with an appendix by Steven Charlton)

Lynn Heller, Sebastian Heller, Martin Traizet

For every $g ≫ 1$ , we show the existence of a complete and smooth family of closed constant mean curvature surfaces $f_{φ}^{g},$ $φ \in [0, \frac{π}{2}],$ in the round $3$ -sphere defo…

math.AG2021

Holomorphic $sl (2, C)$ -systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)

Indranil Biswas, Sorin Dumitrescu, Lynn Heller +1

For every integer $g \geq 2$ we show the existence of a compact Riemann surface $Σ$ of genus $g$ such that the rank two trivial holomorphic vector bundle ${\mathcal O}^{\oplus…

math.DG2021★ 6 cited

Constant mean curvature surfaces based on fundamental quadrilaterals

Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt

We describe the construction of CMC surfaces with symmetries in $S^{3}$ and $R^{3}$ using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the spac…

math.DG2021

Uniformization of branched surfaces and Higgs bundles

Indranil Biswas, Steven Bradlow, Sorin Dumitrescu +1

Given a compact Riemann surface $Σ$ of genus $g_{Σ} \geq 2$ , and an effective divisor $D = \sum_{i} n_{i} x_{i}$ on $Σ$ with $degree (D) < 2 (g_{Σ} - 1)$ , there is a unique co…

On the existence of holomorphic curves in compact quotients of SL(2,C)

Branched SL(r,C)-opers

Complete families of embedded high genus CMC surfaces in the 3-sphere (with an appendix by Steven Charlton)

Holomorphic sl(2,C)-systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)

Constant mean curvature surfaces based on fundamental quadrilaterals

Uniformization of branched surfaces and Higgs bundles

On the existence of holomorphic curves in compact quotients of $SL (2, C)$

Holomorphic $sl (2, C)$ -systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)