Mathematical Sciences: Algebraic and Geometric Topology
{'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}
This project involves the use of surgery theory to study                   symmetries of manifolds, with emphasis on finite groups of                      symmetries of the sphere.  The project includes three parts.  The               first part is the interaction of the fundamental group and the                  homology of a manifold.  The goal is to have a good understanding               of the topology of a manifold with finite fundamental group,                    concentrating on the cases where the universal cover is                         particularly simple.  The methods are surgery theory,                           representation theory, and quadratic forms.                                          A second part of the project is the study of group actions                 on spheres.  For example there are well-known actions on 3-                     dimensional algebraic varieties, and the connection of these                    actions with high dimensional surgery theory could lead to an                   interesting synthesis.                                                               The third part of the project is algebraic considerations in               L-theory and Galois cohomology.  The interaction between algebra                and topology has been quite fruitful in the past.
{'FirstName': 'James', 'LastName': 'Davis', 'PI_MID_INIT': 'F', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James F Davis', 'EmailAddress': 'jfdavis@indiana.edu', 'NSF_ID': '000156390', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Indiana University', 'CityName': 'BLOOMINGTON', 'ZipCode': '474057000', 'PhoneNumber': '3172783473', 'StreetAddress': '107 S INDIANA AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Indiana', 'StateCode': 'IN', 'CONGRESSDISTRICT': '09', 'CONGRESS_DISTRICT_ORG': 'IN09', 'ORG_UEI_NUM': 'YH86RTW2YVJ4', 'ORG_LGL_BUS_NAME': 'TRUSTEES OF INDIANA UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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