Výsledky vyhledávání - "Schmäschke, Felix"

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Trisecting a 4-dimensional book into three chapters

We describe an algorithm that takes as input an open book decomposition of a closed oriented 4-manifold and outputs an explicit trisection diagram of that 4-manifold. Moreover, a slight variation of this algorithm also works for open books on manifol

Externí odkaz: http://arxiv.org/abs/2304.12250

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Dissertation/ Thesis

Abelianization and Floer homology of Lagrangians in clean intersection

Autor: Schmäschke, Felix

This thesis is split up into two parts each revolving around Floer homology and quantum cohomology of closed monotone symplectic manifolds. In the first part we consider symplectic manifolds obtained by symplectic reduction. Our main result is that a

Externí odkaz: https://ul.qucosa.de/id/qucosa%3A15581
https://ul.qucosa.de/api/qucosa%3A15581/attachment/ATT-0/

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Akademický článek

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On geodesic flows with symmetries and closed magnetic geodesics on orbifolds

Autor: Asselle, Luca, Schmäschke, Felix

Let $Q$ be a closed manifold admitting a locally-free action of a compact Lie group $G$. In this paper we study the properties of geodesic flows on $Q$ given by Riemannian metrics which are invariant by such an action. In particular, we will be inter

Externí odkaz: http://arxiv.org/abs/1711.07755

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On the existence of closed magnetic geodesics via symplectic reduction

Autor: Asselle, Luca, Schmäschke, Felix

Let $(M,g)$ be a closed Riemannian manifold and $\sigma$ be a closed 2-form on $M$ representing an integer cohomology class. In this paper, using symplectic reduction, we show how the problem of existence of closed magnetic geodesics for the magnetic

Externí odkaz: http://arxiv.org/abs/1607.04098

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Floer homology of Lagrangians in clean intersection

Autor: Schmäschke, Felix

We consider Floer homology associated to a pair of closed Lagrangian submanifolds that satisfy a monotonicty assumption. If the Lagrangians intersect cleanly we decribe two spectral sequences which help to compute their Floer homology. The spectral s

Externí odkaz: http://arxiv.org/abs/1606.05327

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