Felix Schlenk

Proof of Theorem 3

Although f * P is a feasible solution, it is not a local optimum for θ ∈ [0, 1) and s ≤ 0 because

Introduction to Combinatorial Torsions

I Algebraic Theory of Torsions.- 1 Torsion of chain complexes.- 2 Computation of the torsion.- 3 Generalizations and functoriality of the torsion.- 4 Homological computation of the torsion.- II Topological Theory of Torsions.- 5 Basics of algebraic topology.- 6 The Reidemeister-Franz torsion.- 7 The Whitehead torsion.- 8 Simple homotopy equivalences.- 9 Reidemeister torsions and homotopy equivalences.- 10 The torsion of lens spaces.- 11 Milnors torsion and Alexanders function.- 12 Group rings of finitely generated abelian groups.- 13 The maximal abelian torsion.- 14 Torsions of manifolds.- 15 Links.- 16 The Fox Differential Calculus.- 17 Computing ?(M3) from the Alexander polynomial of links.- III Refined Torsions.- 18 The sign-refined torsion.- 19 The Conway link function.- 20 Euler structures.- 21 Torsion versus Seiberg-Witten invariants.- References.

Applications of Hofer's geometry to Hamiltonian dynamics

We prove that for every subset

Quantitative symplectic geometry

A

The Gromov width of 4-dimensional tori

of a tame symplectic manifold

Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems

(W,\omega)

MINIMAL ATLASES OF CLOSED SYMPLECTIC MANIFOLDS

meeting a semi-positivity condition, the

Displaceability and the mean Euler characteristic

\pi_1

SYMPLECTIC EMBEDDINGS OF ELLIPSOIDS

-sensitive Hofer--Zehnder capacity of

Volume preserving embeddings of open subsets of ℝⁿ into manifolds

A