Mathematical Sciences: Connections Between Geometry and LinkPolynomials
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Thistlewaite plans to examine several interconnected                       problems in classical knot theory and the theory of `trace'                     polynomial invariants.  The principal task is the search for                    intrinsic geometrical definitions of the new polynomial                         invariants of links.  Also, Thistlewaite will seek improved                     combinatorial definitions of the two 2-variable generalizations                 of the Jones polynomial, from which it is hoped that rapid proofs               of the existence of these polynomials will materialize.  On a                   purely geometrical front, he will pursue the question as to                     whether crossing-number of links is additive with respect to                    connected sum.
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{'Name': 'University of California-Santa Barbara', 'CityName': 'SANTA BARBARA', 'ZipCode': '931060001', 'PhoneNumber': '8058934188', 'StreetAddress': '3227 CHEADLE HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '24', 'CONGRESS_DISTRICT_ORG': 'CA24', 'ORG_UEI_NUM': 'G9QBQDH39DF4', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SANTA BARBARA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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