Search Results - "Zvonkine, D."

Geometric Test for Topological States of Matter by Klevtsov, S, Zvonkine, D

“…We generalize the flux insertion argument due to Laughlin, Niu-Thouless-Tao-Wu, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a…”
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Double ramification cycles on the moduli spaces of curves by Janda, F., Pandharipande, R., Pixton, A., Zvonkine, D.

“…Curves of genus g which admit a map to P 1 with specified ramification profile μ over 0 ∈ P 1 and ν over ∞ ∈ P 1 define a double ramification cycle DR g ( μ ,…”
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Integrals of ψ-classes over double ramification cycles by Buryak, A, Shadrin, S, Spitz, L, Zvonkine, D

“…A double ramification cycle, or DR-cycle, is a codimension $g$ cycle in the moduli space $\overline{\mathcal M}_{g,n}$ of stable curves. Roughly speaking,…”
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On double Hurwitz numbers with completed cycles by Shadrin, S., Spitz, L., Zvonkine, D.

“…In this paper, we collect a number of facts about double Hurwitz numbers, where the simple branch points are replaced by their more general analogues:…”
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INTEGRALS OF 𝜓-CLASSES OVER DOUBLE RAMIFICATION CYCLES by Buryak, A., Shadrin, S., Spitz, L., Zvonkine, D.

“…A double ramification cycle, or DR-cycle, is a codimension 𝑔 cycle in the moduli space 𝛭 ¯ g , n of stable curves. Roughly speaking, given a list of integers…”
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Equivalence of ELSV and Bouchard–Mariño conjectures for r-spin Hurwitz numbers by Shadrin, S., Spitz, L., Zvonkine, D.

“…We propose two conjectures on Hurwitz numbers with completed ( r + 1 ) -cycles, or, equivalently, on certain relative Gromov-Witten invariants of the…”
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Cohomological field theories with non-tautological classes by Pandharipande, R., Zvonkine, D., Petersen, D.

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On multiplicities of the Lyashko-Looijenga mapping on discriminant strata by Zvonkine, D., Lando, S. K.

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Equivalence of ELSV and Bouchard–Mariño conjectures for $$r$$ r -spin Hurwitz numbers by Shadrin, S., Spitz, L., Zvonkine, D.

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Cohomological field theories with non-tautological classes by Pandharipande, R, Zvonkine, D

“…A method of constructing Cohomological Field Theories (CohFTs) with unit using minimal classes on the moduli spaces of curves is developed. As a simple…”
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Double ramification cycles with target varieties by Janda, F, Pandharipande, R, Pixton, A, Zvonkine, D

“…J. Topology 13 (4): 1725-1766 (December 2020) Let X be a nonsingular projective algebraic variety, and let S be a line bundle on X. Let A = (a_1,..., a_n) be a…”
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Tautological relations via r-spin structures by Pandharipande, R, Pixton, A, Zvonkine, D

“…Relations among tautological classes on the moduli space of stable curves are obtained via the study of Witten's r-spin theory for higher r. In order to…”
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Counting meromorphic functions with critical points of large multiplicities by Panov, D., Zvonkine, D.

“…We study the number of meromorphic functions on a Riemann surface with given critical values and prescribed multiplicities of critical points and values. When…”
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Double ramification cycles on the moduli spaces of curves by Janda, F, Pandharipande, R, Pixton, A, Zvonkine, D

“…Publ. Math. Inst. Hautes \'Etudes Sci. 125 (2017), 221-266 Curves of genus g which admit a map to CP1 with specified ramification profile mu over 0 and nu over…”
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Top tautological group of $\mathcal M_{g,n} by Buryak, A, Shadrin, S, Zvonkine, D

“…J. Eur. Math. Soc. (JEMS) 18 (2016), no. 12, 2925-2951 We describe the structure of the top tautological group in the cohomology of the moduli space of smooth…”
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Equivalence of ELSV and Bouchard-Mari\~no conjectures for $r$-spin Hurwitz numbers by Shadrin, S, Spitz, L, Zvonkine, D

“…Math. Ann. 361 (2015), no. 3-4, 611-645 We propose two conjectures on Huwritz numbers with completed $(r+1)$-cycles, or, equivalently, on certain relative…”
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The Chern character of the Verlinde bundle over the moduli space of stable curves by Marian, A, Oprea, D, Pandharipande, R, Pixton, A, Zvonkine, D

“…We prove an explicit formula for the total Chern character of the Verlinde bundle over the moduli space of pointed stable curves in terms of tautological…”
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On double Hurwitz numbers with completed cycles by Shadrin, S, Spitz, L, Zvonkine, D

“…J. Lond. Math. Soc. (2) 86 (2012), no. 2, 407--432 In this paper, we collect a number of facts about double Hurwitz numbers, where the simple branch points are…”
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Integrals of psi-classes over double ramification cycles by Buryak, A, Shadrin, S, Spitz, L, Zvonkine, D

“…Amer. J. Math. 137 (2015), no. 3, 699--737 DR-cycles are certain cycles on the moduli space of curves. Intuitively, they parametrize curves that allow a map to…”
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