| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | April 5, 1988 |
| Latest Amendment Date: | February 6, 1989 |
| Award Number: | 8802638 |
| Award Instrument: | Continuing Grant |
| Program Manager: |
Ralph M. Krause
DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | July 1, 1988 |
| End Date: | December 31, 1990 (Estimated) |
| Total Intended Award Amount: | $79,000.00 |
| Total Awarded Amount to Date: | $79,000.00 |
| Funds Obligated to Date: |
FY 1989 = $35,800.00 |
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| Recipient Sponsored Research Office: |
360 HUNTINGTON AVE BOSTON MA US 02115-5005 (617)373-5600 |
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Performance Congressional District: |
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| Unique Entity Identifier (UEI): |
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| NSF Program(s): | TOPOLOGY |
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| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
1. Applications of Intersection Homology: A study will be made of the torsion-linking pairing which exists on the intersection homology peripheral group of a complex analytic variety, and, in particular, its relationship with the multiplicity of the characteristic variety will be studied. Piecewise linear differential forms with singularities will be constructed for which the L2 forms compute the intersection homology, on any simplicial complex which can be (P.L) stratified with even-codimension strata. Hecke correspondences which induce homomorphisms on intersection homology will be studied, and their Lefschetz numbers will be calculated using geometric techniques. 2. Applications of Stratified Morse Theory: N. Spaltenstein's conjecture relating the intersection homology of nilpotent varieties and the Poincare polynomial of the complement of certain arrangements of hyperplanes will be investigated using the geometric techniques of stratified Morse theory.
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