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The Brylinski beta function of a surface

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Abstract

An analogue of Brylinski’s knot beta function is defined for a submanifold of \(d\)-dimensional Euclidean space. This is a meromorphic function on the complex plane. The first few residues are computed for a surface in three dimensional space.

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Authors and Affiliations

  1. Department of Mathematics, West Virginia University, Morgantown, WV, 26506-6310, USA

    E. J. Fuller & M. K. Vemuri

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  1. E. J. Fuller
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  2. M. K. Vemuri
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Correspondence to M. K. Vemuri.

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For Baxter and Tonu.

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Fuller, E.J., Vemuri, M.K. The Brylinski beta function of a surface. Geom Dedicata 179, 153–160 (2015). https://doi.org/10.1007/s10711-015-0071-y

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