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Download E-books Twistor Geometry and Field Theory (Cambridge Monographs on Mathematical Physics) PDF
By R. S. Ward
This e-book offers with the twistor therapy of convinced linear and non-linear partial differential equations in mathematical physics. the outline by way of twistors contains algebraic and differential geometry, and a number of other complicated variables, and ends up in a unique form of surroundings that provides a brand new standpoint at the homes of space-time and box theories. The ebook is designed for use via mathematicians and physicists and so the authors have made it kind of self-contained. the 1st half features a improvement of the mandatory mathematical history. within the moment half, Yang-Mills fields and gravitational fields (the uncomplicated fields of latest physics) are defined on the classical point. within the ultimate half, the math and physics are married to resolve a few field-theoretical difficulties.
By Burghelea D., Haller S.
During this paper, we think about vector fields on a closed manifold whose instantons and closed trajectories could be 'counted'. Vector fields which admit Lyapunov closed one varieties belong to this classification. We exhibit that lower than an extra speculation, 'the exponential development property', the counting services of instantons and closed trajectories have Laplace transforms which are regarding the topology and the geometry of the underlying manifold. the aim of this paper is to introduce and discover the idea that 'exponential development property', and to explain those Laplace transforms.