For a real algebraic link in RP3, we prove that its encomplexed writhe (an invariant introduced by Viro) is maximal for a given degree and genus if and only if its self-linking number...
Publications
Pages
Tuesday, 4 December, 2018
arXiv:1812.01563
Monday, 3 December, 2018
Superstring theory on {\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4 with the smallest amount of NS-NS flux (`k=1') is shown to be dual to the spacetime CFT given by the large N limit of the...
arXiv:1812.01007
Friday, 30 November, 2018
We present a systematic analysis of quantum Heisenberg-, XY- and interchange models on the complete graph. These models exhibit phase transitions accompanied by spontaneous symmetry breaking,...
arXiv:1811.12834
Thursday, 29 November, 2018
It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The result has...
arXiv:1811.12816
Wednesday, 28 November, 2018
Conventional scenarios of electroweak (EW) baryogenesis are strongly constrained by experimental searches for CP violation beyond the SM. We propose an alternative scenario where the EW phase...
arXiv:1811.11740
Wednesday, 28 November, 2018
In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang--Baxter deformations realized via (sequences of...
arXiv:1811.11764
Sunday, 25 November, 2018
A Lagrangian subspace L of a weak symplectic vector space is called \emph{split Lagrangian} if it has an isotropic (hence Lagrangian) complement. When the symplectic structure is strong, it is...
arXiv:1811.10107
Sunday, 18 November, 2018
This note is an expanded and updated version of our entry with the same title for the 2006 Encyclopedia of Mathematical Physics. We give a brief overview of graded Poisson algebras, their main...
arXiv:1811.07395
Thursday, 15 November, 2018
We review our construction of the Teichmüller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief...
arXiv:1811.06853
Thursday, 15 November, 2018
In the Euclidean plane, two intersecting circles or two circles which are tangent to each other clearly do not carry a finite Steiner chain. However, in this paper we will show that such exotic...
arXiv:1811.06201
Monday, 12 November, 2018
We derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE...
arXiv:1811.04812
Monday, 5 November, 2018
Grothendieck polynomials were introduced by Lascoux and Schützenberger, and they play an important role in K-theoretic Schubert calculus. In this paper, we give a new definition of double stable...
arXiv:1811.02055