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pro vyhledávání: '"Markarian, Nikita"'
Autor:
Gorodetsky, Leonid, Markarian, Nikita
The main result of the paper is a description of conormal Lie algebras of Feigin-Odesskii Poisson structures. In order to obtain it we introduce a new variant of a definition of a Feigin-Odesskii Poisson structure: we define it using a differential o
Externí odkaz:
http://arxiv.org/abs/2403.02805
Publikováno v:
SIGMA 20 (2024), 037, 19 pages
We prove that a pair of Feigin-Odesskii Poisson brackets on ${\mathbb P}^4$ associated with elliptic curves given as linear sections of the Grassmannian $G(2,5)$ are compatible if and only if this pair of elliptic curves is contained in a del Pezzo s
Externí odkaz:
http://arxiv.org/abs/2310.18759
We prove that several Feigin-Odesskii Poisson brackets associated with normal elliptic curves in ${\mathbb P}^n$ are compatible if and only if they are contained in a scroll or in a Veronese surface in ${\mathbb P}^5$ (with an exception of one case w
Externí odkaz:
http://arxiv.org/abs/2207.07770
Autor:
Markarian, Nikita
The algebra of big zeta values we introduce in this paper is an intermediate object between multiple zeta values and periods of the multiple zeta motive. It consists of number series generalizing multiple zeta values, the simplest examples, which are
Externí odkaz:
http://arxiv.org/abs/2011.04944
Autor:
Markarian, Nikita
We introduce a family of linear relations between cell-zeta values that have a form similar to product map relations and jointly with them imply stuffle relations between multiple zeta values.
Comment: 10 pages, minor corrections. This is the fi
Comment: 10 pages, minor corrections. This is the fi
Externí odkaz:
http://arxiv.org/abs/2008.00855
Autor:
Markarian, Nikita
We apply Weyl $n$-algebras to prove formality theorems for higher Hochschild cohomology. We present two approaches: via propagators and via the factorization complex. It is shown that the second approach is equivalent to the first one taken with a ne
Externí odkaz:
http://arxiv.org/abs/2006.09709
Autor:
Markarian, Nikita
Given a Lie algebra with a scalar product, one may consider the latter as a symplectic structure on a $dg$-scheme, which is the spectrum of the Chevalley--Eilenberg algebra. In the first section we explicitly calculate the first order deformation of
Externí odkaz:
http://arxiv.org/abs/1509.03415
Autor:
Markarian, Nikita
Publikováno v:
Communications in Mathematical Physics, 350(2), 421-442, 2017
We introduce Weyl n-algebras and show how their factorization homology may be used to define invariants of manifolds. In the appendix we heuristically explain why these invariants must be perturbative Chern-Simons invariants.
Comment: v3: Revise
Comment: v3: Revise
Externí odkaz:
http://arxiv.org/abs/1504.01931
Akademický článek
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Publikováno v:
Communications in Mathematical Physics 322, 697-729 (2013)
We give an explicit formula for a quasi-isomorphism between the operads Hycomm (the homology of the moduli space of stable genus 0 curves) and BV/$\Delta$ (the homotopy quotient of Batalin-Vilkovisky operad by the BV-operator). In other words we deri
Externí odkaz:
http://arxiv.org/abs/1206.3749