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Chapter and Conference Paper
A Tremendous Green Roof or Biodiversity Museum? First Outcomes from Soil Survey in Zaryadye Park
Soils play a crucial role in functionality, sustainability and biodiversity . not only contribute to biodiversity by creating conditions for vegetation growth, but also are niches for microbial communities....
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Article
On the Solvability of Boundary Value Problems for the Inhomogeneous Schrödinger Equation on Model Riemannian Manifolds
The paper investigates the asymptotic behavior of solutions of the inhomogeneous stationary Schrödinger equation on non-compact model Riemannian manifolds. Exact conditions for the unique solvability of the Di...
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Article
Eigenfunctions of the Laplace Operator and Harmonic Functions on Model Riemannian Manifolds
This article explores and develops opportunities Fourier method of separation of variables for the study of the asymptotic behavior of harmonic functions on noncompact Riemannian manifolds of a special form. T...
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Article
Materializing superghosts
The off-shell Batalin-Vilkovysky (BV) realization has been constructed for N = 1, d = 10 super-Yang-Mills theory with seven auxiliary fields. This becomes possible due to the materialized ghost phenomenon. Namely...
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Article
From Zwiebach Invariants to Getzler Relation
We introduce the notion of Zwiebach invariants that generalize Gromov- Witten invariants and homotopical algebra structures. We outline the induction procedure that induces the structure of Zwiebach invariants...
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Article
Topological quantum mechanics for physicists
This text is an attempt to write an introduction and outline of main results of topological quantum mechanics for readers with a physical background. Instead of presenting rigorous mathematical formulations, w...
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Chapter
Extended Modular Operad
This paper, together with [Ma2], constitutes a sequel to [LoMa] where some new moduli spaces of pointed curves were introduced and studied. We start with a review of the main results of [LoMa] and then give a ...
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Article
Commutativity equations and dressing transformations
We study dressing transformations that generate all solutions to commutativity equations and, after picking up special coordinates, all solutions to WDVV equations. We conjecture that the homological tensor pr...
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Article
On compatibility of tensor products on solutions to commutativity and WDVV equations
We show that topological conformal theory contains solutions for WDVV equations for genus zero amplitudes and solutions to Commutativity equations from its quantum mechanics on the annulus. We explain behavior...
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Chapter
Testing Seiberg-Witten Solution
One of the sources of the recent duality revolution in string theory is the solution of N. Seiberg and E. Witten [1] of N = 2 supersymmetric Yang-Mills theory which has been tested in many indirect ways but never...
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Article
Central extensions of gauge groups revisited
We present an explicit construction for the central extension of the group Map(X, G) where X is a compact manifold and G is a Lie group. If X is a complex curve we obtain a simple construction of the extension b...
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Chapter
Hodge Strings and Elements of K. Saito’s Theory of Primitive Form
The Hodge strings construction of solutions to associativity equations is proposed. From the topological string theory point of view, this construction formalizes the integration over the position of the marke...
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Article
On “Hodge” topological strings at genus zero
A “Hodge strings” construction of solutions to associativity equations based on the t-part of t−t* equations is proposed. This construction formalizes and generalizes the “integration over the position of the mar...
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Article
On structure and open problems in topological theories coupled to topological gravity
The structure of topological theory coupled to topological gravity is studied. We show that in this theoryQ-exact terms do not decouple. This nondecoupling in the action of the theory is connected with the existe...
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Chapter and Conference Paper
Structures of K.Saito theory of primitive form in topological theories coupled to topological gravity
Structure of topological theory coupled to topological gravity is studied on a typical example — Landau-Ginzburg theory. It is shown that all main ingredients of K.Saito theory of primitive form are implied in...
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Article
Descendants constructed from matter field in Landau-Ginzburg theories coupled to topological gravity
It is argued that gravitational descendants in the theory of topological gravity coupled to topological Landau-Ginzburg theory (not necessarily conformal) can be constructed from matter fields alone (without m...
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Chapter and Conference Paper
The Cutting and Sewing Method in String Theory
The basic object in perturbative string theory is the q-loop statsum I q, which is a functional integral in some conformal theory over fields ρ on Riemann surface Σq of genus q. When the surface deg...
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Chapter
Dialectical Logic
Dialectical logic is the science of the most general laws of the development of nature, society and human thought. These laws are reflected in the form of special concepts — logical categories. Therefore, dialect...
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Chapter
Esthetics
Esthetics (from the Greek αίσθητικóς, sensible) is the philosophical discipline having as its object the domain of expressive form of any sphere of reality (including the artistic), given as an independent and...
