John W. Morgan, Dusa McDuff, Mohammad Tehrani, Kenji Fukaya, Dominic Joyce
Sērija : Mathematical Surveys and Monographs
(Izdošanas datums: 04-Nov-2019, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470452025)
The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromovs original paper until today this approach has been the most important tool in global s...Lasīt vairāk
Sērija : Memoirs of the American Mathematical Society
(Izdošanas datums: 09-May-2019, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470453367)
If X is a manifold then the \mathbb R-algebra C^\infty (X) of smooth functions c:X\rightarrow \mathbb R is a C^\infty -ring. That is, for each smooth function f:\mathbb R^n\rightarrow \mathbb R there is an n-fold operation \Phi _f:C^\i...Lasīt vairāk
(Izdošanas datums: 22-Feb-2007, PDF+DRM, Izdevniecība: Oxford University Press, ISBN-13: 9780191526978)
This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. In Mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and...Lasīt vairāk
Sērija : Memoirs of the American Mathematical Society
(Izdošanas datums: 01-May-2012, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9780821887523)
This book studies generalized Donaldson-Thomas invariants\bar{DT}{}^\alpha(\tau). They are rational numbers which count both \tau-stable and \tau-semistable coherent sheaves with Chern character \alpha on X; strictly \tau-semistable she...Lasīt vairāk
