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On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures
Symmetry, integrability and geometry: methods and applications, Tome 20 (2024) Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we obtain explicit expressions for Pandharipande–Pixton–Zvonkine relations in the second rational cohomology of $\overline{\mathcal M}_{g,n}$ and comparing the result with Arbarello–Cornalba's theorem we prove Pixton's conjecture in this case.
Keywords: moduli space of curves, tautological relations, cohomological field theories. 
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     author = {Danil Gubarevich},
     title = {On the {Picard} {Group} of the {Moduli} {Space} of {Curves} via $r${-Spin} {Structures}},
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Danil Gubarevich. On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures. Symmetry, integrability and geometry: methods and applications, Tome 20 (2024). http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a87/

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