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Showing 1 to 20 of 141 for “"Equivariant"”.
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Equivariant LS-Category and Equivariant Topological Complexity
… use the properties of the orbit class to study equivariant LS-category and equivariant topological complexity. Equivariant LS-category was introduced by Marzantowicz in 1989, as a generalization of LS-category. Since then, equivariant LS-category has been studied by mathematicians and many …
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Equivariant dynamics and categories of equivariant vector fields
… present a framework for studying the dynamics of equivariant vector fields near relative equilibria. To overcome the lack of linearization at a relative equilibrium or the possible non-smoothness of the orbit space, we categorify the space of equivariant vector fields. A category where the objects …
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Equivariant elliptic cohomology and twisted equivariant k-theory
Equivariant elliptic cohomology and twisted equivariant K-theory are both related to the representations of loop groups. After making these relationships precise, we propose a map from twisted equivariant elliptic cohomology to twisted K-theory of the inertia stack using equivariant de Rham models. …
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Equivariant Modules
A module N over a ring A is a G -equivariant module if N is also a representation of G in a way compatible with the module structure. The lattice of an equivariant module is a convenient way to describe an equivariant module. We introduce an explicit elementary technique for understanding the …
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Equivariant E-infinity algebras
The equivariant 𝔼∞G operad has the property that 𝔼∞G(n) is the total space for the G-equivariant universal principal Σn bundle. There is a forgetful functor from 𝔼∞G-algebras to 𝔼∞-algebras, where 𝔼∞ is the classic 𝔼∞ operad. This functor admits a homotopical right adjoint R. The goal of this …
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Equivariant symmetry breaking sets
Equivariant neural networks (ENNs) have been shown to be extremely useful in many applications involving some underlying symmetries. However, equivariant networks are unable to produce lower symmetry outputs given a high symmetry input. Spontaneous symmetry breaking occurs in many physical systems …
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Equivariant Deformations of Horospherical Surfaces
… CMC1 surfaces which makes the Goursat transform equivariant with respect to the Lawson correspondence, thereby increasing the number of explicitly computable examples of minimal/CMC1 cousin pairs. We then indicate how the Goursat transformation law and integrability conditions for the "spin …
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Equivariant Kolmogorov-Arnold-Moser theory
… symmetry group, Γ. The setting then becomes Γ-Equivariant, nearly integrable, Hamiltonian, ODEs. In this setting the Diophantine condition is no longer valid as the symmetry constraints imposed by Γ, generically force the frequencies to be repeated. Utilizing equivariant-singularity and linear …
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Equivariant Chow groups and multiplicities
We propose a definition of equivariant Chow groups for schemes with a torus action and develop the intersection theory related to it. The equivariant intersection theories that have been considered in the past have been the Chow groups and the K-theory of the quotient scheme, as well as the …
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Equivariant Embeddings of Algebraic Groups
We classify embeddings of algebraic groups as open orbits in affine varieties, generalizing results from toric geometry to connected reductive groups. In particular, we show that an embedding is determined by the set of one-parameter subgroups that have a limit in the embedding. We then investigate …
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Units of Equivariant Ring Spectra
We then define the units of equivariant spectra in terms of equivariant Gamma-spaces. Thus showing that units of equivariant spectra are equivariant spectra.
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Equivariant Schubert calculus and applications
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo terms
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Equivariant elliptic cohomology and rigidity
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
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Gauge-fixing and equivariant cohomology
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Following manifolds in equivariant evolution equations
This thesis provides a first step into the utilisation of infinitedimensional symmetry in the freezing method. We cover the theoretical foundation and introduce the freezing system based on equivariance with respect to the diffeomorphism group. Furthermore, phase conditions are created that …
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Theoretical Properties of Equivariant Neural Networks
… focus on symmetry-preserving models. We study equivariant neural networks, where inductive biases can be encoded precisely in representation-theoretic terms by restricting the hypothesis space to functions compatible with prescribed symmetries. This setting provides a principled framework to …
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Spectral Flow in Equivariant Index Theory
Contains fulltext : 317235.pdf (Publisher’s version ) (Open Access)
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Equivariant Index on Toric Contact Manifolds
… the horizontal Dolbeault operator twisted by a G-equivariant vector bundle. This operator is G-transversally elliptic, in the sense of [5], so its index is a formal power series. The goal of this thesis is to calculate the index of the twisted horizontal Dolbeault operator explicitly by …
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Homotopy Topoi and Equivariant Elliptic Cohomology
… in order to provide a common foundation for equivariant homotopy theory and derived algebraic geometry. In particular, we obtain the categories of G-spaces, for a topological group G, and E-schemes, for an Einfinity-ring spectrum E , as full topological subcategories of the homotopy topoi …
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Equivariant cohomology, homogeneous spaces and graphs
… We investigate the relationship between the equivariant cohomology of the manifold M and the fixed point data of the torus action. We are interested in understanding the topology of the space of T-orbits in M. In particular, we explore aspects of this topology which are determined by data …
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