Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical invariants and intersection theory on the flex and gothic loci   The flex locus parameterizes plane cubics with three collinear cocritical
points under a projection, and the gothic locus arises from quadratic
differentials with zeros at a fiber of the projection and with poles at the
cocritical points. The flex and gothic loci provide the first example of a
primitive, totally geodesic subvariety of moduli space and new ${\rm
SL}_2(\mathbb{R})$-invariant varieties in Teichm\"uller dynamics, as discovered
by McMullen-Mukamel-Wright. In this paper we determine the divisor class of the
flex locus as well as various tautological intersection numbers on the gothic
locus. For the case of the gothic locus our result confirms numerically a
conjecture of Chen-M\"oller-Sauvaget about computing sums of Lyapunov exponents
for ${\rm SL}_2(\mathbb{R})$-invariant varieties via intersection theory.

9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an