Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Moduli Space of Polynomial Maps and Their Fixed-Point Multipliers:
  II. Improvement to the Algorithm and Monic Centered Polynomials   We consider the set $\mathrm{MC}_d$ of monic centered polynomials of one
complex variable with degree $d \geq 2$, and study the map
$\widehat{\Phi}_d:\mathrm{MC}_d\to \widetilde{\Lambda}_d \subset \mathbb{C}^d /
\mathfrak{S}_d$ which maps each $f \in \mathrm{MC}_d$ to its unordered
collection of fixed-point multipliers. We give an explicit formula for counting
the number of elements of each fiber
$\widehat{\Phi}_d^{-1}\left(\bar{\lambda}\right)$ for every $\bar{\lambda} \in
\widetilde{\Lambda}_d$. This formula contains no induction process, and is a
drastic improvement of our previous result which gave a rather long algorithm
with some induction processes for counting the number of elements of each
fiber.

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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph