| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | April 7, 1989 |
| Latest Amendment Date: | July 22, 1991 |
| Award Number: | 8904934 |
| 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, 1989 |
| End Date: | December 31, 1992 (Estimated) |
| Total Intended Award Amount: | $90,890.00 |
| Total Awarded Amount to Date: | $90,890.00 |
| Funds Obligated to Date: |
FY 1990 = $29,890.00 FY 1991 = $32,000.00 |
| History of Investigator: |
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| Recipient Sponsored Research Office: |
250 BEDFORD PARK BLVD W BRONX NY US 10468-1527 (718)960-8107 |
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| Primary Place of Performance: |
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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
8904934 Handel The principal investigator will work on a pair of related projects, one concerning automorphisms of the free group and the other concerning the dynamics of surface diffeomorphisms. The first is a continuation of joint work with Mladen Bestvina. They hope to show that the group of outer automorphisms of the free group of rank n satisfies the Tits Alternative. They also hope to complete the characterization of geometric automorphisms that was begun earlier. The second project involves the computer implementation of algorithms developed earlier to determine the Thurston canonical form for an element of the mapping class group of a compact surface. Particular emphasis will be placed on the genus zero case, the goal being to understand the dynamics of a diffeomeophism f of the two-sphere by studying the canonical forms associated to f outside a finite invariant set.
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