Zobrazeno 1 - 10
of 202
pro vyhledávání: '"Salamon, Dietmar"'
Autor:
Garcia-Prada, Oscar, Salamon, Dietmar
This paper surveys the role of moment maps in K\"ahler geometry. The first section discusses the Ricci form as a moment map and then moves on to moment map interpretations of the K\"ahler--Einstein condition and the scalar curvature (Quillen--Fujiki-
Externí odkaz:
http://arxiv.org/abs/2004.08659
The Ricci form is a moment map for the action of the group of exact volume preserving diffeomorphisms on the space of almost complex structures. This observation yields a new approach to the Weil-Petersson symplectic form on the Teichmuller space of
Externí odkaz:
http://arxiv.org/abs/1805.00536
Autor:
Krom, Robin S., Salamon, Dietmar A.
This is an exposition of the Donaldson geometric flow on the space of symplectic forms on a closed smooth four-manifold, representing a fixed cohomology class. The original work appeared in [1].
Externí odkaz:
http://arxiv.org/abs/1512.09198
This paper gives an essentially self-contained exposition (except for an appeal to the Lojasiewicz gradient inequality) of geometric invariant theory from a differential geometric viewpoint. Central ingredients are the moment-weight inequality (relat
Externí odkaz:
http://arxiv.org/abs/1311.0410
Autor:
Salamon, Dietmar
This survey paper addresses uniqueness questions for symplectic forms on closed manifolds, explains what is known in several examples, and reviews some open problems.
Comment: 27 pages, 1 figure. Pages 6 and 7 added (20 November 2012). Expanded
Comment: 27 pages, 1 figure. Pages 6 and 7 added (20 November 2012). Expanded
Externí odkaz:
http://arxiv.org/abs/1211.2940
Publikováno v:
Mathematische Zeitschrift, Volume 259 (2008), pages 525-574
The moduli space of regular stable maps with values in a complex manifold admits naturally the structure of a complex orbifold. Our proof uses the methods of differential geometry rather than algebraic geometry. It is based on Hardy decompositions an
Externí odkaz:
http://arxiv.org/abs/1205.1662
We define combinatorial Floer homology of a transverse pair of noncontractibe nonisotopic embedded loops in an oriented 2-manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian
Externí odkaz:
http://arxiv.org/abs/1205.0533
Autor:
Robbin, Joel, Salamon, Dietmar
We prove a formula that expresses the Viterbo-Maslov index of a smooth strip in an oriented 2-manifold with boundary curves contained in 1-dimensional submanifolds in terms the degree function on the complement of the union of the two submanifolds.
Externí odkaz:
http://arxiv.org/abs/1205.0535
Autor:
Salamon, Dietmar A.
A divergence free frame on a closed three manifold is called regular if every solution of the linear Fueter equation is constant and is called singular otherwise. The set of singular divergence free frames is an analogue of the Maslov cycle. Regular
Externí odkaz:
http://arxiv.org/abs/1202.4165
Autor:
Salamon, Dietmar A., Walpuski, Thomas
Publikováno v:
Proceedings of the 23rd Gokova Geometry-Topology Conference, pp. 1-85 (2017)
This is an expository paper. Its purpose is to explain the linear algebra that underlies Donaldson-Thomas theory and the geometry of Riemannian manifolds with holonomy in $G_2$ and ${\rm Spin}(7)$.
Comment: 95 pages
Comment: 95 pages
Externí odkaz:
http://arxiv.org/abs/1005.2820