Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves

Released on by Mark D. Hamilton
preview-18

  • Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves Book Detail

  • Author : Mark D. Hamilton
  • Release Date : 2010
  • Publisher :
  • Genre : MATHEMATICS
  • Pages : 60
  • ISBN 13 : 9781470405854
  • File Size : 4,4 MB
DOWNLOAD BOOK

Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves by Mark D. Hamilton PDF Summary

Book Description: "When geometric quantization is applied to a manifold using a real polarization which is 'nice enough', a result of Sniatycki says that the quantization can be found by counting certain objects, called Bohr-Sommerfeld leaves. Subsequently, several authors have taken this as motivation for counting Bohr-Sommerfeld leaves when studying the quantization of manifolds which are less 'nice'. In this paper, the author examines the quantization of compact symplectic manifolds that can locally be modelled by a toric manifold, using a real polarization modelled on fibres of the moment map. The author computes the results directly and obtains a theorem similar to Sniatycki's, which gives the quantization in terms of counting Bohr-Sommerfeld leaves. However, the count does not include the Bohr-Sommerfeld leaves which are singular. Thus the quantization obtained is different from the quantization obtained using a Kähler polarization."--Publisher's description.

Disclaimer: www.yourbookbest.com does not own Locally Toric Manifolds and Singular Bohr-Sommerfeld Leaves books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Weighted Shifts on Directed Trees

Weighted Shifts on Directed Trees

File Size : 82,82 MB
Total View : 5231 Views
DOWNLOAD

A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be c