TY - BOOK AU - Gover,A.Rod AU - Latini,Emanuele AU - Waldron,Andrew TI - Poincare-Einstein holography for forms via conformal geometry in the bulk T2 - Memoirs of the American Mathematical Society SN - 9781470410926 (alk. paper) U1 - 510 23 PY - 2015/// CY - Providence : PB - American Mathematical Society, KW - Differential Geometry KW - Particles (Nuclear physics) KW - Boundary value problems KW - Mathematical physics KW - Asymptotic theory N1 - 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 N2 - 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. ER -