Mathematical Sciences: Three-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}
Haken will develop an improved version of the theory of                     normal-surfaces, making use of his recently proved splitting                    theorem and the polynomially bounded time demand of the                         Whitehead-Zieschang algorithms for simplifying meridian                         systems in handlebodies.  This is expected to yield fast                        algorithms for determining distinguished cell-partitions for                    all those compact 3-manifolds whose first Betti number is                       greater than zero and which are known to be irreducible.  In                    particular, it is expected to yield a fast algorithm of which                   it can be proved that it recognizes every trivial knot which                    is given in an arbitrary ambient 3-manifold.                                        He will also continue his search for interesting examples                   of Heegaard diagrams of 3-manifolds.
{'FirstName': 'Wolfgang', 'LastName': 'Haken', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Wolfgang Haken', 'EmailAddress': None, 'PI_PHON': None, 'NSF_ID': '000306976', 'StartDate': '05/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Illinois at Urbana-Champaign', 'CityName': 'URBANA', 'ZipCode': '618013620', 'PhoneNumber': '2173332187', 'StreetAddress': '506 S WRIGHT ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'IL13', 'ORG_UEI_NUM': 'Y8CWNJRCNN91', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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