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K. Habiro

9 papers hereh-index 171.1k citations40 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author8
  • first author1

Across the 9 of 9 papers where every author was matched, so the position is known.

fields
  • math.GT7
  • math.AC1
  • math.QA1

identity via Semantic Scholar / OpenAlex

activity
20022006
most citedA unified Witten-Reshetikhin-Turaev invariant for integral homology spheres

52 citations · 85 across the 5 of their papers we have counts for

collaborators
Showing 2006Show all

3 papers · 1 filter

math.GT2006★ 52 cited

A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres

Kazuo Habiro

We construct an invariant J_M of integral homology spheres M with values in a completion \hat{Z[q]} of the polynomial ring Z[q] such that the evaluation at each root of unity ζgive…

math.QA2006★ 6 cited

An integral form of the quantized enveloping algebra of sl_2 and its completions

Kazuo Habiro

We introduce an integral form U of the quantized enveloping algebra of sl_2. The algebra U is just large enough so that the quasi-R-matrix is contained in a completion of U\otimes…

math.GT2006★ 7 cited

On the Kontsevich integral of Brunnian links

Kazuo Habiro, Jean-Baptiste Meilhan

The purpose of the paper is twofold. First, we give a short proof using the Kontsevich integral for the fact that the restriction of an invariant of degree 2n to (n+1)-component Br…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.