Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Alexandr Buryak"'
Autor:
Oscar Brauer Gomez, Alexandr Buryak
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-15 (2021)
Abstract The paper is devoted to the open topological recursion relations in genus 1, which are partial differential equations that conjecturally control open Gromov-Witten invariants in genus 1. We find an explicit formula for any solution analogous
Externí odkaz:
https://doaj.org/article/9c43974d0ca340f69b665fa9851ccbd3
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 6 (2022)
We propose a conjectural formula for $DR_g(a,-a) \lambda_g$ and check all its expected properties. Our formula refines the one point case of a similar conjecture made by the first named author in collaboration with Gu\'er\'e and Rossi, and we prove t
Externí odkaz:
https://doaj.org/article/3626c19fb86c4d768561876f0c5d32bd
Autor:
Alexandr Buryak, Paolo Rossi
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. :1-23
In this paper, we formulate and present ample evidence towards the conjecture that the partition function (i.e. the exponential of the generating series of intersection numbers with monomials in psi classes) of the Pixton class on the moduli space of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba8fafb701f730316966b8322c1b44d0
https://doi.org/10.1017/s1474748022000354
https://doi.org/10.1017/s1474748022000354
Publikováno v:
International Mathematics Research Notices.
We present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion for an arbitrary solution to the open WDVV equations satisfying a sem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f48ef1cd3843a21119018ba138cbf52
https://doi.org/10.1093/imrn/rnac240
https://doi.org/10.1093/imrn/rnac240
Publikováno v:
International Mathematics Research Notices. 2022:10458-10532
We lay the foundation for a version of $r$-spin theory in genus zero for Riemann surfaces with boundary. In particular, we define the notion of $r$-spin disks, their moduli space, and the Witten bundle; we show that the moduli space is a compact smoo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f22ee690892b22e6111de762ffccf13a
https://doi.org/10.1093/imrn/rnaa345
https://doi.org/10.1093/imrn/rnaa345
Publikováno v:
Journal of Geometry and Physics. 137:132-153
We study a generalization of genus-zero r -spin theory in which exactly one insertion has a negative-one twist, which we refer to as the “closed extended” theory, and which is closely related to the open r -spin theory of Riemann surfaces with bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0411f829279198ca05a2a5a485bf68a9
https://doi.org/10.1016/j.geomphys.2018.11.007
https://doi.org/10.1016/j.geomphys.2018.11.007
In this paper we study relations between various natural structures on F-manifolds. In particular, given an arbitrary Riemannian F-manifold we present a construction of a canonical flat F-manifold associated to it. We also describe a construction of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0d4705e640cee2476233dac7cda67f6
http://arxiv.org/abs/2104.09380
http://arxiv.org/abs/2104.09380
Publikováno v:
Università degli Studi di Padova-IRIS
Letters in Mathematical Physics, 111(1):13. Springer Netherlands
Letters in Mathematical Physics, 111(1):13. Springer Netherlands
We propose a remarkably simple and explicit conjectural formula for a bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomological field theory. Various checks are presented to support the conje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b6cd0cbb483beb69f31df92f150ba36
https://doi.org/10.1007/s11005-020-01341-6
https://doi.org/10.1007/s11005-020-01341-6
Publikováno v:
Advances in Mathematics. 401:108249
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c97bf004dc66dae23fd97a2710a2a94
https://doi.org/10.1016/j.aim.2022.108249
https://doi.org/10.1016/j.aim.2022.108249
We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction to prove that the principal hierarchy of any semisimple (homogeneous) flat F-manifold possesses a (homogeneous) integrable dispersive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e76fb2d00bba2e0ca4ea854d27d5d67
http://arxiv.org/abs/2012.05332
http://arxiv.org/abs/2012.05332