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On Raoul Bott’s “On Invariants of Manifold” (Commentary on [106], [107])

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Abstract

I’m not sure how to introduce a review paper [B]. So rather than commenting on the paper as whole, I will concentrate on my subjective view of just one paragraph—a paragraph which I think I influenced and which ended up influencing me very deeply. A paragraph I am sure Raoul was uncomfortable writing, for at the time he was uncomfortable with his understanding of the underlying mathematics as I have explained it to him [BN]—uncomfortable enough to later rewrite (with Taubes) this bit of mathematics in his own language [BT], making my own work completely obsolete.

The author was partially supported by NSERC grant RGPIN 262178.

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References

  1. S. Axelrod and I. M. Singer, Chern-Simons Perturbation Theory, Proc. XXth DGM Conference (New York, 1991) (S. Catto and A. Rocha, eds.) World Scientific, 1992, 3–45. arXiv: hep-th/9110056.

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  2. D. Bar-Natan, Perturbative aspects of the Chern-Simons topological quantum field theory, Ph.D. thesis, Princeton Univ., June 1991.

    Google Scholar 

  3. R. Bott, On Invariants of Manifolds, in Modern Methods in Complex Analysis (Princeton, NJ, 1992), Ann. of Math. Stud. 137 Princeton Univ. Press (1995) 29–39.

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  4. R. Bott and C. Taubes, On the self-linking of knots, Jour. Math. Phys. 35 (1994).

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  5. D. Thurston, Integral expressions for the Vassiliev knot invariants, Harvard University senior thesis, April 1995, arXiv: math.QA/9901110.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4, Canada

    Dror Bar-Natan

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  1. Dror Bar-Natan
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Correspondence to Dror Bar-Natan .

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Editors and Affiliations

  1. Department of Mathematics, Tufts University, Medford, MA, USA

    Loring W. Tu

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Bar-Natan, D. (2017). On Raoul Bott’s “On Invariants of Manifold” (Commentary on [106], [107]). In: Tu, L. (eds) Raoul Bott: Collected Papers . Contemporary Mathematicians. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51781-0_11

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