Singular Intersection Homology

By Greg Friedman. 2020

59 citations recorded by the source corpus.

simplicial complex, see simplicial complex, abstract acknowledgments, ii acyclic model, 193 Acyclic Model Theorem, 356 admissible triangulation, see triangulation, admissible agreeable triple of perversities, 361, 364, 365 (Qp̄,t̄Y , Qt̄X ,q̄;Q), 423 (0̄, t̄; 0̄), 362 (n̄, n̄; 0̄), 362 (p̄, Dp̄; 0̄), 362 (p̄, t̄; p̄), 362 (t̄, 0̄; 0̄), 362 and diagonal maps, 361 and projection maps, 386 in terms of dual perversities, 361, 362 Akin, Ethan, 672, 686 Albin, Pierre, 687, 689 Alexander-Whitney map, 194, 354, 355 intersection version, see intersection Alexander Whitney map (IAW) algebra background, 694–717 algebraic diagonal map (d̄), 355, 357, 363 coassociativity, 396 cocommutativity, 382 counitality, 386 locality, 439, 459 naturality, 372 algebraic mapping cone, 410, 703 and boundary maps, 411, 413, 704 compatibility with products, 415, 417 allowable chain, 6, 90 effects of simplicial subdivision on, 94– 95 in small degrees, 127 on regular strata, 93, 126 PL chain, 118 simplex, 90 singular chain, 126 singular simplex, 126 strata vs. skeleta, 102–104 Aluffi, Paolo, 688 assembly map, 677, 681 AT map, 729 AT space, 723, 729 augmentation cocycle (1), xvi augmentation map (a), xv augmented intersection chain complex, see intersection chain complex, augmented balls, 184 Banagl, Markus, ii, 675, 677, 678, 680, 684, 687, 688 basic sets, 590 Bernstein, Joseph, 691 Beshears, Aaron, 57 Bĕılinson, Alexander, 691 bilinear pairing, see pairing Bockstein map, 226 bordism, 669–682 bordism group, 670 bordism homology theory, 670

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/88347b7f282d23ab05343a7a6dd9f16aedf3595b