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001 ocn645245798;

003 OCoLC;

005 20141212052949.0;

008 100628s2010 riua b 000 0 eng ;

010 a| 2010022712;

020 a| 9780821847145 (alk. paper);

020 a| 0821847147 (alk. paper);

035 a| (Sirsi) o645245798;

035 a| (OCoLC)645245798;

049 a| EREE;

050 04 a| QA3b| .A57 no. 971;

082 00 a| 516.3/62| 22;

100 1 a| Hamilton, Mark D.,d| 1974-=| ^A1021180;

245 10 a| Locally toric manifolds and singular Bohr-Sommerfeld leaves /c| Mark D. Hamilton.;

260 a| Providence, R.I. :b| American Mathematical Society,c| 2010.;

300 a| v, 60 pages :b| illustrations ;c| 26 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Memoirs of the American Mathematical Society ;v| no. 971;

500 a| "Volume 207, number 971 (first of 5 numbers).";

504 a| Includes bibliographical references (p. 59-60).;

505 0 a| Introduction -- Background -- The cylinder -- The complex plane -- Example: S² -- The multidimentional case -- A better way to calculate cohomology --Piecing and glueing -- Real and Kähler ploarizations compared.;

520 a| "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.;

650 0 a| Geometric quantization.=| ^A246790;

830 0 a| Memoirs of the American Mathematical Societyv| no. 971.=| ^A638158;

949 a| QA3 .A57 no. 971h| JOYNER48o| jawwi| 30372015444331;

994 a| C0b| ERE;

938 a| YBP Library Servicesb| YANKn| 3374624;

590 a| FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57.;

596 a| 1;

998 a| 2316054;

999 a| QA3 .A57 NO. 971w| LCc| 1i| 30372015444331d| 12/6/2012e| 9/20/2010f| 12/6/2012g| 1l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 9/16/2010x| BOOKz| JSTACKSo| .STAFF. jaww;

Locally toric manifolds and singular Bohr-Sommerfeld leaves / Mark D. Hamilton.

Author/creator	Hamilton, Mark D., 1974-
Format	Book
Publication Info	Providence, R.I. : American Mathematical Society, 2010.
Description	v, 60 pages : illustrations ; 26 cm.
Subjects	Geometric quantization.

Series	Memoirs of the American Mathematical Society ; no. 971 Memoirs of the American Mathematical Society no. 971. ^A638158
Contents	Introduction -- Background -- The cylinder -- The complex plane -- Example: S² -- The multidimentional case -- A better way to calculate cohomology --Piecing and glueing -- Real and Kähler ploarizations compared.
Abstract	"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.
Local note	FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, SEARCH BY CALL NUMBER QA3 .A57.
General note	"Volume 207, number 971 (first of 5 numbers)."
Bibliography note	Includes bibliographical references (p. 59-60).
LCCN	2010022712
ISBN	9780821847145 (alk. paper)
ISBN	0821847147 (alk. paper)

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Locally toric manifolds and singular Bohr-Sommerfeld leaves / Mark D. Hamilton.

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