• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site
Of all publications in the section: 26
Sort:
by name
by year
Article
Takasaki K., Takebe T. Letters in Mathematical Physics. 1991. Vol. 23. No. 3. P. 205-214.
Added: Aug 14, 2014
Article
Basalaev A. Letters in Mathematical Physics. 2018. Vol. 108. No. 1. P. 161-183.

We introduce the SL(2, C) group action on the partition function of the Cohomological field theory via the certain Givental's action. Restricted to the small phase space we describe the action via the explicit formulae on the CohFT genus g potential. We prove that applied to the total ancestor potential of the simple elliptic singularity the action introduced coincides with the transformation of Milanov-Ruan changing the primitive form (c.f. http://arxiv.org/abs/1106.2321).

Added: Feb 26, 2019
Article
Marshall I. Letters in Mathematical Physics. 2017. Vol. 107. No. 4. P. 619-642.

Presentation of a  method for generating Lax pairs for systems obtaibed by means of Hamilton reduction

Added: Dec 8, 2016
Article
Barannikov S. Letters in Mathematical Physics. 2019. Vol. 109. No. 3. P. 699-724.

https://arxiv.org/abs/1803.11549

I describe a combinatorial construction of the cohomology classes in compactified moduli spaces of curves ZˆI∈H∗(barM_g,n) starting from the following data: an odd derivation I, whose square is non-zero in general, I2≠0, acting on a ℤ/2ℤ-graded associative algebra with odd scalar product. The constructed cocycles were first described in the theorem 2 in the author's paper "Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals". Comptes Rendus Mathematique, 348, pp. 359-362, arXiv:0912.5484 , preprint HAL-00102085 (09/2006). By the theorem 3 from loc.cit. the family of the cohomology classes obtained in the case of the algebra Q(N) and the derivation I=[Λ,⋅] coincided with the generating function of products of ψ−classes. This was the first nontrivial computation of categorical Gromov-Witten invariants of higher genus. The result matched with the mirror symmetry prediction, i.e. with the classical (non-categorical) Gromov-Witten descendent invariants of a point for all genus. As a byproduct of that computation a new combinatorial formula for products of ψ-classes ψi=c1(T∗pi) in the cohomology H∗(barM_g,n) is written out.

Added: Oct 5, 2018
Article
Kazaryan M., Zograf P. Letters in Mathematical Physics. 2015. Vol. 105. No. 8. P. 1057-1084.

We compute the number of coverings of CP1∖{0,1,∞} with a given monodromy type over ∞ and given numbers of preimages of 0 and 1. We show that the generating function for these numbers enjoys several remarkable integrability properties: it obeys the Virasoro constraints, an evolution equation, the KP (Kadomtsev–Petviashvili) hierarchy and satisfies a topological recursion in the sense of Eynard–Orantin.

Added: Jan 19, 2016
1 2