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Lie Methods in Deformation Theory
This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We...
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Deformation Quantization
Deformation quantization was proposed at first by Dirac in (The Principles of Quantum Mechanics Oxford University Press, Oxford, 1930) in order to...
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Elasticity: Elastic Deformation of a Thin Plate
We study in this chapter the deformation of a thin plate. In our example, the plate is part of a condenser microphone, such as one may find inside a...
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Simplicial Galois Deformation Functors
In [13], the authors showed the importance of studying simplicial generalizations of Galois deformation functors. They established a precise link...
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Arithmetic statistics for Galois deformation rings
Given an elliptic curve E defined over the rational numbers and a prime p at which E has good reduction, we consider the Galois deformation ring...
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Peridynamic Modeling of Elastoplastic Deformation
This chapter presents the nonordinary state-based (NOSB) peridynamic (PD) modeling of elastoplastic deformation under quasi-static loading...
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Peridynamic Modeling of Thermoelastic Deformation
This chapter presents the PD modeling of thermoelastic deformation. It employs the PD correspondence model for elastic materials. The force density...
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Modeling of Thermoelastoplastic Deformation of Reinforced Plates. 1. Structural Model of Reinforced Medium
A numerical-analytic structural model of thermoelastoplastic deformation of a composite material cross-reinforced with fibers in arbitrary directions...
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Partial wetting of the soft elastic graded substrate due to elastocapillary deformation
Surface tension plays a central role in the mechanical behavior of soft materials such as gels. Elastocapillary deformation of elastic graded...
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Deformation cohomology of Schur–Weyl categories
The deformation cohomology of a tensor category controls deformations of the constraint of its monoidal structure. Here we describe the deformation...
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The Enhanced Period Map and Equivariant Deformation Quantizations of Nilpotent Orbits
In a previous paper, the author and his collaborator studied the problem of lifting Hamiltonian group actions on symplectic varieties and Lagrangian...
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The Scale-Dependent Deformation Model of a Layered Rectangle
We consider the problem of deformation of a layered rectangle whose lower side is rigidly clamped, a distributed normal load acts on the upper side,...
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Peridynamic Modeling of Visco-Hyperelastic Deformation
This chapter presents the PD modeling of viscoelastic materials in the presence of finite deformation. It employs the PD correspondence model for the...
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Differentiable Deformation Graph-Based Neural Non-rigid Registration
The traditional pipeline for non-rigid registration is to iteratively update the correspondence and alignment such that the transformed source...
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Antiplane deformation of an orthotropic layer due to surface loads
In the present paper, analytical expressions for a two-dimensional deformation of a homogeneous, elastically orthotropic layer of finite thickness...
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Symplectic Coordinates on the Deformation Spaces of Convex Projective Structures on 2-Orbifolds
Let 𝒪 be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form ω on...
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Nonlinear bending behavior of functionally graded porous beams based on sinusoidal shear deformation theory
A finite element formulation based on sinusoidal shear deformation theory is established to investigate linear and nonlinear bending analysis of...
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On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps
In a previous paper (Lodge et al. in Forum Math Sigma 10:e3, 2022), we constructed an explicit dynamical correspondence between certain Kleinian...
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Deformation Results
Deformation results are one of the main tools used in finding critical points. In this chapter we present several deformation results for nonsmooth...