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Resurgence of Chern–Simons Theory at the Trivial Flat Connection [PDF]
Communications in Mathematical PhysicsAbstract Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the location of the singularities and their Stokes constants) in the case of a ...
Stavros Garoufalidis +3 more
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2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics
Advanced Functional Materials, Volume 36, Issue 44, 1 June 2026.2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit +5 more
wiley +1 more source
A symmetric Finsler space with Chern connection
, 2007 We define a symmetry for a Finsler space with Chern connection and investigate its implementation and properties and find a relation between them and flag curvature.
Latifi, Dariush, Razavi, Asadollah
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The Hodge Chern character of holomorphic connections as a map of simplicial presheaves
Algebraic & Geometric Topology, 2022 We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of composable non connection preserving isomorphisms of vector bundles with holomorphic connections an appropriate sequence of holomorphic forms. We apply this Chern character map to the Cech nerve of a good cover of a complex manifold and assemble the data by
Glass, C. +3 more
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Wilson loop algebras and quantum K-theory for Grassmannians
Journal of High Energy Physics, 2020 We study the algebra of Wilson line operators in three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for ...
Hans Jockers +3 more
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The holographic c-theorem and infinite-dimensional Lie algebras
Journal of High Energy Physics, 2022 We discuss a non-dynamical theory of gravity in three dimensions which is based on an infinite-dimensional Lie algebra that is closely related to an infinite-dimensional extended AdS algebra.
Eric A. Bergshoeff +2 more
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Laplace operators on holomorphic Lie algebroids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
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Integrable lambda models and Chern-Simons theories
Journal of High Energy Physics, 2017 In this note we reveal a connection between the phase space of lambda models on S 1 × ℝ $$ {S}^1\times \mathbb{R} $$ and the phase space of double Chern-Simons theories on D × ℝ $$ D\times \mathbb{R} $$ and explain in the process the origin of the non ...
David M. Schmidtt
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On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley +1 more source