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By A. Jaffe (Chief Editor)

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Additional resources for Communications in Mathematical Physics - Volume 209

Sample text

Introduction . . . . . . . . . . . . . 2. Partitioned Maps . . . . . . . . . . . . 1 Multibraces . . . . . . . . . . . . 2 The algebra of ordered partitions . . . . . . 1 Regular partitions . . . . . . . . . 2 Partitions involving zeros . . . . . . . 3 Partitioned multilinear maps . . . . . . . 1 Regular partitioned maps . . . . . . . 2 Higher products of regular partitions . . . . 4 Partitioned Hochschild space . . . . . .

1 Multibraces . . . . . . . . . . . . 2 The algebra of ordered partitions . . . . . . 1 Regular partitions . . . . . . . . . 2 Partitions involving zeros . . . . . . . 3 Partitioned multilinear maps . . . . . . . 1 Regular partitioned maps . . . . . . . 2 Higher products of regular partitions . . . . 4 Partitioned Hochschild space . . . . . . 5 Partitioned maps involving zeros . . . . . 3. The Master Identity for Homotopy Gerstenhaber Algebras .

23) is 0. 2) for the polynomial variables satisfying Eq. 1). 5. 1). Then, using representation theory of composite braids, we obtained a direct method of evaluating bracket polynomials of cables of link diagrams. This enables us to show that the three-manifold invariant obtained by Lickorish using the formalisation of the bracket polynomial as the Temperley–Lieb algebra and the invariant obtained by Kaul using generalised link invariants from Chern–Simons theory are equal up to normalisation. However the normalising factor on the choice of A, the 4r th root of unity.

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