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Showing 1 to 20 of 21 for “"Lagrangians"”.
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Current algebras and pion Lagrangians
… calculations. The phenomenological non-linear Lagrangians of pions are developed in detail.
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Practical Challenges in the Method of Controlled Lagrangians
The method of controlled Lagrangians is an energy shaping control technique for underactuated Lagrangian systems. Energy shaping control design methods are appealing as they retain the underlying nonlinear dynamics and can provide stability results that hold over larger domain than can be obtained …
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A-infinity algebras for Lagrangians via polyfold theory for Morse trees with holomorphic disks
For a Lagrangian submanifold, we define a moduli space of trees of holomorphic disk maps with Morse flow lines as edges, and construct an ambient space around it which we call the quotient space of disk trees. We show that this ambient space is an M-polyfold with boundary and corners by combining …
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The Novikov theory for symplectic cohomology and exact Lagrangian embeddings
… which provides such conditions for exact Lagrangians inside cotangent bundles and inside ALE hyperkähler spaces. For example, the only exact Lagrangians inside ALE hyperkähler spaces must be spheres. The vanishing of symplectic cohomology is an obstruction to the existence of exact …
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Collinear Supergravity at Linear Order
… to guide us in constructing collinear superspace Lagrangians. We describe the process of doing so for matter as well as gauge Lagrangians and note the similarities between the two. We use a similar approach to obtain a supergravity Lagrangian while using a non-conventional gauge fixing choice. The …
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Symplectic cohomology and duality for the wrapped Fukaya Category
… Fukaya category W of a collection of exact Lagrangians in a Liouville manifold. Under a non-degeneracy condition implying the existence of enough Lagrangians, we show that natural geometric maps from the Hochschild homology of W to symplectic cohomology and from symplectic cohomology to the …
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Symmetry in monotone Lagrangian Floer theory
… The first is the collection of four Platonic Lagrangians in quasihomogeneous threefolds of $\mathrm{SL}(2, \mathbb{C})$, starting with the Chiang Lagrangian in $\mathbb{CP}^3$. These were previously studied by Evans and Lekili, who computed the self-Floer cohomology of the latter. We simplify …
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Lagrangian structures and multidimensional consistency
… the construction of Lagrangian multiforms, i.e., Lagrangians which are the components of a form and satisfy a closure relation. We demonstrate that the Lagrangians of many important examples fit into this framework: the so-called ABS list of systems on quad graphs, which includes the discrete …
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Mappings Between Annuli of Smallest p-Harmonic Energy
… a novel approach based on the concept of free Lagrangians, described as differential forms $L(x, h(x), Dh(x))dx$ whose integral depends only on the homotopy class of $h$. We find that the solution to the $p$-harmonic variational problem depends on the relative thickness of $\A$ and $\A^*$.</p>
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Floer cohomology in the mirror of the projective plane and a binodal cubic curve
… torus fibration on the mirror, of which the Lagrangians are sections. This gives rise to a distinguished basis of the Floer cohomology and the homogeneous coordinate ring parameterized by fractional integral points in the singular affine structure on the base of the torus fibration. The …
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Nuclear Chiral Axial Currents and Applications to Few-Nucleon Systems
… nuclear potentials and currents from the chiral Lagrangians. The second part deals with the actual derivation, up to one loop, of the two-nucleon potential and one- and two-nucleon weak axial charge and current. In both derivations ultraviolet divergences generated by loop corrections are …
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Symplectic properties of Milnor fibres
… it is known that the only possible exact Lagrangians are spheres. We construct exact Lagrangian tori in the Milnor fibres of all non-simple singularities of real dimension four. This gives examples of Milnor fibres whose Fukaya categories are not generated by vanishing cycles. Also, this …
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Modélisation de la transition solide-fluide dans les géomatériaux. Application aux glissements de terrain.
… numerical method (Finite Element Method with Lagrangians Integration Points) which has shown a strong potential to describe a wide variety of behaviors (including history dependent behavior), in a unique model. Having implemented and validated the first elasto-plastic law in Ellipsis (FEMLIP …
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Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences
… symplectic manifolds, symplectic divisors and Lagrangians are central objects to study on the symplectic side. The focus of the thesis is to establish relations of these symplectic objects to the corresponding complex analytic objects, namely Stein fillings, divisors and coherent sheaves, …
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Energy methods for lossless systems using quadratic differential forms
… between zero-mean quantities and generalized Lagrangians of an autonomous linear lossless system.<br/>Finally, we study various methods of synthesis of lossless electric networks like Cauer and Foster methods, and come up with an abstract deffnition of synthesis of a positive QDF that …
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Topics in symplectic Gromov–Witten theory
… points of two (possibly non-transverse) Lagrangians in terms of the cuplength of the Lagrangian in generalised cohomology theories, improving previous lower bounds by Hofer.
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Generalised cohomology and relatively exact Lagrangian submanifolds
… identity. We also show that given a family of Lagrangians all of which are Hamiltonian isotopic to L over a sphere or a torus, the associated fibre bundle cohomologically splits over Z/2. This uses the methods of Lalonde and McDuff from [53]. In Chapter 3 (which is joint work with Amanda …
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Heavy quark physics on the lattice with improved nonrelativistic actions
… lattice QCD. Then, the construction of effective Lagrangians for heavy quarks in the continuum and on the lattice is discussed in detail. A highly improved lattice mNRQCD action is derived and its effectiveness is demonstrated by nonperturbative tests involving both heavy-heavy and heavy-light …
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Topics in relativistic cosmology: Cosmology on the past lightcone and in modified gravitation
… of state, we reconstruct the forms of ƒ(R) Lagrangians. The resulting solutions are generally quadratic in the Ricci scalar, but have appropriate ΛCDM solutions in limiting cases. These solutions, given appropriate initial conditions, can be potential candidates for scalar field-driven early …
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On variational principles for dissipative networks and systems
… reciprocal networks with bilateral elements. Lagrangians and Hamiltonians are formulated for various second-order network models: loop, nodal, node-pair, etc. Variational formulation for single-branch network models is recognized as an inverse variational problem with constraints. A system …
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