On some aspects of the geometry of differential equations in physics”, Int - Gràcia, Muñoz-Lecanda, et al.X. Gràcia, M. C. Muñoz-Lecanda, and N. Román-Roy, “On some aspects of the geometry of differe
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS Vol. 16 No. 3 2009 ALGEBRAIC ASPECTS OF THE HIRZEBRUCH SIGNATURE OPERATOR 419 Example 3.5 [classical]. Let (V, G) be a real N -dimensional oriented Euclidean space with an inner product G : positive ON basis V of × V V ). → We R and the ...
Published for SISSA by Springer Received: June 25, 2024 Accepted: November 10, 2024 Published: December 27, 2024 Aspects of Ω-deformed M-theory Davide Gaiotto a and Jihwan Oh a,b aPerimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada bUniversity of California, ...
Journal of Geometry & PhysicsN.J. Hitchin. Geometrical aspects of Schlesinger's equation. J. Geom. Physics, 23(3-4):287-300, 1997.N. J. Hitchin, Geometrical aspects of Schlesinger's equation, J. Geom. Phys. 23 (1997) 287-300.
Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor...
symplectic geometrymoment maphydrodynamicsgauge fieldsgeometric quantizationcoherent statesIn this paper we discuss various geometric aspects related to the Schrdinger and the Pauli equations. First we resume the Madelung–Bohm hydrodynamical approach to quantum mechanics and recall the Hamiltonian structure of...
High Energy Physics - TheoryMathematics - Symplectic Geometry14C3014J3219D5534M40We discuss the Hodge theory of algebraic non-commutative spaces and analyze how this theory interacts with the Calabi-Yau condition and with mirror symmetry. We develop an abstract theory of non-commutative Hodge ...
Mathematics - Symplectic GeometryHigh Energy Physics - TheoryIn this article we discuss the geometry of moduli spaces of (1) flat bundles over special Lagrangian submanifolds and (2) deformed Hermitian-Yang-Mills bundles over complex submanifolds in Calabi-Yau manifolds. These moduli spaces reflect ...
(1.4) This doubled space is also equipped with a natural symplectic product Ω given in this basis as, 01 ΩIJ = −1 0 . (1.5) The existence of the objects S, η and Ω are central to the recent proposal of Born geome- tries [15, 16]. In all of these duality symmetric...
Both descriptions in terms of one Dirac spinor or one pair of symplectic-Majorana spinors are thus equivalent, both of them describing 8 real off-shell degrees of freedom. In practice however, only the symplectic formulation is used, since it makes explicit the action of the R-symmetry group...