TY - BOOK AU - Keevash,Peter AU - Mycroft,Richard TI - Geometric theory for hypergraph matching T2 - Memoirs of the American Mathematical Society SN - 9781470409654 (alk. paper) U1 - 510 23 PY - 2015/// CY - Providence : PB - American Mathematical Society, KW - Hypergraphs KW - Matching theory N1 - Includes bibliographical references; 1. Introduction -- 2. Results and examples -- 3. Geometric motifs -- 4. Transferrals -- 5. Transferrals via the minimum degree sequence -- 6. Hypergraph regularity theory -- 7. Matchings in k-systems -- 8. Packing tetrahedra -- 9. The general theory -- Bibliography N2 - The authors develop a theory for the existence of perfect matchings in hypergraphs under quite general conditions. Informally speaking, the obstructions to perfect matchings are geometric, and are of two distinct types: "space barriers" from convex geometry, and "divisibility barriers" from arithmetic lattice-based constructions ER -