Results 11 to 20 of about 59,739 (214)
Extended Legendrian Dualities Theorem in Singularity Theory
Symmetry, 2022 In this paper, we find some new information on Legendrian dualities and extend them to the case of Legendrian dualities for continuous families of pseudo-spheres in general semi-Euclidean space.
Haiming Liu, Jiajing Miao
semanticscholar +1 more source
Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics [PDF]
, 2015 Contact geometry has been applied to various mathematical sciences, and it has been proposed that a contact manifold and a strictly convex function induce a dually flat space that is used in information geometry. Here, such a dually flat space is related
S. Goto
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Linear perturbations of quaternionic metrics [PDF]
, 2008 We extend the twistor methods developed in our earlier work on linear deformations of hyperkahler manifolds [arXiv:0806.4620] to the case of quaternionic-Kahler manifolds.
Alexandrov, Sergei +3 more
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Hodge theory on transversely symplectic foliations [PDF]
, 2016 In this paper, we develop symplectic Hodge theory on transversely symplectic foliations. In particular, we establish the symplectic $d\delta$-lemma for any such foliations with the (transverse) $s$-Lefschetz property.
Yi Lin
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A foliated Hitchin-Kobayashi correspondence [PDF]
Advances in Mathematics, 2018 We prove an analogue of the Hitchin-Kobayashi correspondence for compact, oriented, taut Riemannian foliated manifolds with transverse Hermitian structure. In particular, our Hitchin-Kobayashi theorem holds on any compact Sasakian manifold. We define the
David Baraglia, Pedram Hekmati
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Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds [PDF]
, 2014 Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this ...
A Agrachev +37 more
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Contact homology of Hamiltonian mapping tori [PDF]
, 2006 In the general geometric setup for symplectic field theory the contact manifolds can be replaced by mapping toriMO of symplectic manifolds (M,ω) with symplectomorphisms O.
O. Fabert
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Sasaki-Einstein Manifolds [PDF]
, 2010 This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.Comment: 58 pages ...
Sparks, James
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Duality in twisted N=4 supersymmetric gauge theories in four dimensions [PDF]
, 1998 We consider a twisted version of the four-dimensional N=4 supersymmetric Yang-Mills theory with gauge groups SU(2) and SO(3), and bare masses for two of its chiral multiplets, thereby breaking N=4 down to N=2. Using the wall-crossing technique introduced
Alvarez +37 more
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Blowup formulae in Donaldson-Witten theory and integrable hierarchies [PDF]
, 2000 We investigate blowup formulae in Donaldson-Witten theory with gauge group SU(N), using the theory of hyperelliptic Kleinian functions. We find that the blowup function is a hyperelliptic sigma-function and we describe an explicit procedure to expand it ...
Edelstein, Jose D. +2 more
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