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arxiv: math/9911120 · v1 · submitted 1999-11-16 · 🧮 math.GT · math.AT

Kauffman bracket skein module of a connected sum of 3-manifolds

Jozef H. Przytycki This is my paper
classification 🧮 math.GT math.AT
keywords manifoldsmodulebracketconnectedkauffmanskeinfieldfunctions
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We show that for the Kauffman bracket skein module over the field of rational functions in variable A, the module of a connected sum of 3-manifolds is the tensor product of modules of the individual manifolds.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Defects in skein theory and TQFT

    math.QA 2026-06 unverdicted novelty 7.0

    Defines defect skein modules for 3-manifolds with line and point defects and proves they match state spaces of defect Reshetikhin-Turaev TQFT for semisimple data.

  2. Kauffman bracket skein module of the connected sum of two solid tori

    math.GT 2026-04 unverdicted novelty 7.0

    The Kauffman bracket skein module of the connected sum of two genus-one handlebodies is determined over Z[q^{±1}].