The Maslov Index in Symplectic Banach Spaces is popular PDF and ePub book, written by Bernhelm Booß-Bavnbek in 2018-03-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Maslov Index in Symplectic Banach Spaces can be Read Online from any device for your convenience.
The Maslov Index in Symplectic Banach Spaces Book PDF Summary
The authors consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, they obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions the authors define the Maslov index of the curve by symplectic reduction to the classical finite-dimensional case. The authors prove the transitivity of repeated symplectic reductions and obtain the invariance of the Maslov index under symplectic reduction while recovering all the standard properties of the Maslov index. As an application, the authors consider curves of elliptic operators which have varying principal symbol, varying maximal domain and are not necessarily of Dirac type. For this class of operator curves, the authors derive a desuspension spectral flow formula for varying well-posed boundary conditions on manifolds with boundary and obtain the splitting formula of the spectral flow on partitioned manifolds.
Detail Book of The Maslov Index in Symplectic Banach Spaces PDF
- Author : Bernhelm Booß-Bavnbek
- Release : 19 March 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470428006
- Genre : Mathematics
- Total Page : 134 pages
- Language : English
- PDF File Size : 8,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Maslov Index in Symplectic Banach Spaces by Bernhelm Booß-Bavnbek, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.