Mathematical Sciences: Transformation Groups and            Low-Dimensional 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}
Symmetry plays an important role in geometry and topology                  and can best be treated in systematic fashion through                           introduction of the theory of groups.  The existence and                        classification of finite groups of symmetries of manifolds of                   dimensions less than five will be studied, with particular                      emphasis on group actions on four-dimensional manifolds.  Here                  breakthroughs by S. Donaldson and M. Freedman in recent years                   have produced powerful new methods that opened up a host of                     formerly inaccessible problems.
{'FirstName': 'Allan', 'LastName': 'Edmonds', 'PI_MID_INIT': 'L', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Allan L Edmonds', 'EmailAddress': 'edmonds@indiana.edu', 'NSF_ID': '000361932', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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