326 citations
- Max Planck SocietyDE43 papers
- Max Planck Institute for Mathematics in the SciencesDE10 papers
- Collège de FranceFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Northwestern UniversityUS2 papers
- The University of AdelaideAU2 papers
- Algebra Bernays UniversityHR1 paper
- Brown UniversityUS1 paper
- Central China Normal UniversityCN1 paper
- Centre d’Immunologie de Marseille-LuminyFR1 paper
- Chinese Academy of SciencesCN1 paper
- Fondation Sophia AntipolisFR1 paper
5 papers · 2 filters
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
Takuro Mochizuki
We establish the correspondence between tame harmonic bundles and -stable parabolic Higgs bundles with trivial characteristic numbers. We also show the Bogomolov-Gieseker type…
Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics
Charles P. Boyer, Krzysztof Galicki
We review our study of Sasakian geometry as an agent for proving the existence of Einstein metrics on odd dimensional manifolds. Particular emphasis is given to the Sasakian struct…
Moduli spaces of convex projective structures on surfaces
V. V. Fock, A. B. Goncharov
We define convex projective structures on 2D surfaces with holes and investigate their moduli space. We prove that this moduli space is canonically identified with the higher Teich…
F-manifolds with flat structure and Dubrovin's duality
Yuri I. Manin
This work continues the study of --manifolds , first defined by Hertling and Manin and investigated in [He]. The notion of a compatible flat structure is int…