Modulprobleme in der algebraischen Geometrie III
Modulräume holomorpher Abbildungen auf konkaven komplexen Räumen
Modulräume stabiler 2-Bündel auf Regelflächen.
Modultheorie hyperelliptischer Mumfordkurven.
Monodromy groups of the projective structures on punctured surfaces.
Multiple zeta values and periods of moduli spaces
We prove a conjecture due to Goncharov and Manin which states that the periods of the moduli spaces of Riemann spheres with marked points are multiple zeta values. We do this by introducing a differential algebra of multiple polylogarithms on and proving that it is closed under the operation of taking primitives. The main idea is to apply a version of Stokes’ formula iteratively to reduce each period integral to multiple zeta values. We also give a geometric interpretation of the double shuffle...
Naive boundary strata and nilpotent orbits
We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups , , and .
Navigating moduli space with complex twists
We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
Negatively curved metrics on Kaira surfaces.
Neuere Ergebnisse in der komplexen Analysis.
Nielsen's theorem and the super-Teichmüller space
Non embeddable CR-structures
Non-commutative matrix integrals and representation varieties of surface groups in a finite group
A new formula is established for the asymptotic expansion of a matrix integral with values in a finite-dimensional von Neumann algebra in terms of graphs on surfaces which are orientable or non-orientable.
Non-continuity of the action of the modular group at Ber's boundary of Teichmuller space.
Nondeformability of the complex projective space.
Non-embeddable CR-manifolds and surface singularities.
Nonlinear analysis and quasiconformal mappings from the perspective of PDEs
Contents Introduction 119 1. Quasiregular mappings 120 2. The Beltrami equation 121 3. The Beltrami-Dirac equation 122 4. A quest for compactness 124 5. Sharp -estimates versus variational integrals 125 6. Very weak solutions 128 7. Nonlinear commutators 129 8. Jacobians and wedge products 131 9. Degree formulas 134 References 136
Non-Realizable CR Structures.
Nonseparation in the Moduli of Complex Vector Bundles.
Non-uniqueness of geodesics in infinite-dimensional Teichmüller spaces. II.