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Topological enumeration of complex polynomial vector fields

Abstract : The enumeration of combinatorial classes of the complex polynomial vector fields in C presented in [Dia13] is extended here to a closed form enumeration of combinatorial classes for degree d polynomial vector fields up to rotations of 2(d−1)st roots of unity. The main tool in the proof of this result is based on a general method of enumeration developed by V.A.Liskovets [Lis98].
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Contributor : Jérôme Tomasini Connect in order to contact the contributor
Submitted on : Monday, July 15, 2013 - 9:46:10 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:46 AM
Long-term archiving on: : Wednesday, October 16, 2013 - 4:14:09 AM


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  • HAL Id : hal-00844343, version 1
  • ARXIV : 1307.3850


Jérôme Tomasini. Topological enumeration of complex polynomial vector fields. 2013. ⟨hal-00844343⟩



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