Výsledky vyhledávání - "Dimitri Zvonkine"

Double Hurwitz Numbers and Multisingularity Loci in Genus 0

Autor: Sergei K. Lando, Maxim Kazarian, Dimitri Zvonkine

Publikováno v: International Mathematics Research Notices. 2022:9529-9570

In the Hurwitz space of rational functions on ${{\mathbb{C}}}\textrm{P}^1$ with poles of given orders, we study the loci of multisingularities, that is, the loci of functions with a given ramification profile over 0. We prove a recursion relation on

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8e863a480ac23a38fac8fbb14b17dc85
https://doi.org/10.1093/imrn/rnab010

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The Chern character of the Verlinde bundle over ℳ¯ g,n

Autor: Aaron Pixton, Alina Marian, Dragos Oprea, Dimitri Zvonkine, Rahul Pandharipande

Publikováno v: Journal für die reine und angewandte Mathematik, 2017 (732)

We prove an explicit formula for the total Chern character of the Verlindebundle of conformal blocks over ℳ¯g,n in terms of tautological classes. The Chern characters of the Verlinde bundles define a semisimple CohFT (the ranks, given by the Verli

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http://doc.rero.ch/record/332008/files/crelle-2015-0003.pdf

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Cohomological field theories with non-tautological classes

Autor: D. Petersen, Rahul Pandharipande, Dimitri Zvonkine

Publikováno v: Arkiv för Matematik
Arkiv för Matematik, 2019, 57 (1), pp.191-213. ⟨10.4310/ARKIV.2019.v57.n1.a10⟩
Arkiv för Matematik, 57 (1)
Ark. Mat. 57, no. 1 (2019), 191-213

A method of constructing Cohomological Field Theories (CohFTs) with unit using minimal classes on the moduli spaces of curves is developed. As a simple consequence, CohFTs with unit are found which take values outside of the tautological cohomology o

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Double ramification cycles with target varieties

Autor: Rahul Pandharipande, Dimitri Zvonkine, Felix Janda, Aaron Pixton

Publikováno v: Journal of Topology

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 vector of integers. Consider a map f from a pointed curve (C,x_1,...,x_n) to X satisfying the following condition: the line bundle f*(S)

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http://arxiv.org/abs/1812.10136

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Hurwitz numbers for real polynomials

Autor: Dimitri Zvonkine, Ilia Itenberg

We consider the problem of defining and computing real analogs of polynomial Hurwitz numbers, in other words, the problem of counting properly normalized real polynomials with fixed ramification profiles over real branch points. We show that, provide

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Chiodo formulas for the r-th roots and topological recursion

Autor: Danilo Lewanski, Sergey Shadrin, Dimitri Zvonkine, Alexandr Popolitov

Publikováno v: Lett.Math.Phys.
Lett.Math.Phys., 2017, 107 (5), pp.901-919. ⟨10.1007/s11005-016-0928-5⟩
Letters in Mathematical Physics, 107(5), 901-919. Springer Netherlands
Lett.Math.Phys., 2017, 107 (5), pp.901-919. 〈10.1007/s11005-016-0928-5〉

We analyze Chiodo's formulas for the Chern classes related to the r-th roots of the suitably twisted integer powers of the canonical class on the moduli space of curves. The intersection numbers of these classes with psi-classes are reproduced via th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f298305b5b7b52c73b38a19618749ea
https://hal.archives-ouvertes.fr/hal-01554681

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Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures

Autor: Dimitri Zvonkine, Rahul Pandharipande, Aaron Pixton

Publikováno v: Journal of the American Mathematical Society. 28:279-309

Witten’s class on the moduli space of 3-spin curves defines a (non-semisimple) cohomological field theory. After a canonical modification, we construct an associated semisimple CohFT with a non-trivial vanishing property obtained from the homogenei

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https://doi.org/10.1090/s0894-0347-2014-00808-0

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Tautological relations via r-spin structures

Autor: Aaron Pixton, Dimitri Zvonkine, Rahul Pandharipande

Publikováno v: Journal of Algebraic Geometry
Journal of Algebraic Geometry, American Mathematical Society, 2019, 28 (3), pp.191-213. ⟨10.1090/jag/736⟩
Journal of Algebraic Geometry, 28 (3)

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 calculate the quantum product, a new formula relating the r-spin correlators in genus 0 to the re

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http://arxiv.org/abs/1607.00978

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Double ramification cycles on the moduli spaces of curves

Autor: Dimitri Zvonkine, Felix Janda, Aaron Pixton, Rahul Pandharipande

Publikováno v: Springer Berlin Heidelberg
Publications Mathématiques de l'IHES
Publications Mathématiques de l'IHES, 2017, 125, pp.221--266. ⟨10.1007/s10240-017-0088-x⟩

Curves of genus g which admit a map to CP1 with specified ramification profile mu over 0 and nu over infinity define a double ramification cycle DR_g(mu,nu) on the moduli space of curves. The study of the restrictions of these cycles to the moduli of

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