Poincare-Einstein holography for forms via conformal geometry in the bulk / A. Rod Gover, Emanuele Latini and Andrew Waldron.

By:

Gover, A. Rod

Contributor(s):

Material type: Text

TextSeries: Memoirs of the American Mathematical Society ; v 235, no 1106.Publication details: Providence : American Mathematical Society, 2015.Description: v, 95 p. : illustrations ; 26 cmISBN:

9781470410926 (alk. paper)

Subject(s):

DDC classification:

510 23 Am512

Contents:

1. Introduction -- 2. Bulk conformal geometry and extension problems -- 3. Tractor exterior calculus -- 4. The exterior calculus of scale -- 5. Higher form Proca equations -- 6. Obstructions, detours, gauge operators and Q-curvature -- Appendix A. The ambient manifold -- Appendix B. List of common symbols -- Bibliography.

Summary: The authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to solutions. They also develop a product formula for solving these asymptotic problems in general.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	510 Am512 (Browse shelf(Opens below))	Available		136685

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Previous	510 Am512 Geometric complexity theory IV :	510 Am512 Endoscopic classification of representations of quasi-split unitary groups /	510 Am512 Locally AH-algebras /	510 Am512 Poincare-Einstein holography for forms via conformal geometry in the bulk /	510 Am512 Shock waves in conservation laws with physical viscosity /	510 Am512 Imprimitive irreducible modules for finite quasisimple groups /	510 Am512 Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres /	Next

Includes bibliographical references.

1. Introduction --
2. Bulk conformal geometry and extension problems --
3. Tractor exterior calculus --
4. The exterior calculus of scale --
5. Higher form Proca equations --
6. Obstructions, detours, gauge operators and Q-curvature --
Appendix A. The ambient manifold --
Appendix B. List of common symbols --
Bibliography.

The authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to solutions. They also develop a product formula for solving these asymptotic problems in general.

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