Mathematical Sciences: 4-Manifolds and Homology 3-Spheres
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
The main concern of this project is to study the role played               by representations of the fundamental group of a homology 3-                    sphere on the 4-manifolds which it bounds.  To this end the                     investigator plans to study new invariants of homology 3-spheres                and their relationship with 4-dimensional topology.  These                      invariants include Floer homology, the invariant "R" of the                     investigator and R. Stern, and a new invariant related to both of               these.  He hopes to be able to compute the Floer homology of all                Seifert fibered homology spheres and to relate the results to the               other invariants mentioned.  These invariants should be useful                  tools.  Furthermore, there is some reason to believe these                      techniques can be extended beyond the realm of Seifert fibrations.
{'FirstName': 'Ronald', 'LastName': 'Fintushel', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ronald A Fintushel', 'EmailAddress': 'ronfint@math.msu.edu', 'NSF_ID': '000163560', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Michigan State University', 'CityName': 'EAST LANSING', 'ZipCode': '488242600', 'PhoneNumber': '5173555040', 'StreetAddress': '426 AUDITORIUM RD RM 2', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Michigan', 'StateCode': 'MI', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'MI07', 'ORG_UEI_NUM': 'R28EKN92ZTZ9', 'ORG_LGL_BUS_NAME': 'MICHIGAN STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'VJKZC4D1JN36'}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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