Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Clifford module"'
Autor:
Jørgen Vold Rennemo
Publikováno v:
Compositio Mathematica. 156:476-525
We study the derived category of a complete intersection $X$ of bilinear divisors in the orbifold $\operatorname{Sym}^{2}\mathbb{P}(V)$. Our results are in the spirit of Kuznetsov’s theory of homological projective duality, and we describe a homolo
Publikováno v:
Symmetry, Integrability and Geometry : Methods and Applications
Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2021, 17 (2021) (049)
Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2021, 17 (2021) (049)
Let $\mathbb S$ be a Clifford module for the complexified Clifford algebra $\mathbb{C}\ell(\mathbb R^n)$, $\mathbb S'$ its dual, $\rho$ and $\rho'$ be the corresponding representations of the spin group ${\rm Spin}(n)$. The group $G= {\rm Spin}(1,n+1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0918b87dd3a29a7a6d9af25de466cfdf
https://hal.archives-ouvertes.fr/hal-03080294/document
https://hal.archives-ouvertes.fr/hal-03080294/document
Autor:
Frenkel, I. B.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 1980 Nov 01. 77(11), 6303-6306.
Externí odkaz:
https://www.jstor.org/stable/9527
Autor:
Ekaterina Pervova
Publikováno v:
Advances in Applied Clifford Algebras. 27:2677-2737
We consider the diffeological pseudo-bundles of exterior algebras, and the Clifford action of the corresponding Clifford algebras, associated to a given finite-dimensional and locally trivial diffeological vector pseudo-bundle, as well as the behavio
Based on Morse theory for the energy functional on path spaces we develop a deformation theory for mapping spaces of spheres into orthogonal groups. This is used to show that these mapping spaces are weakly homotopy equivalent, in a stable range, to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9542f0f518c3ba42fe48f07b99672b85
http://arxiv.org/abs/2011.14368
http://arxiv.org/abs/2011.14368
Autor:
Irina Markina, Kenro Furutani
Publikováno v:
Geometriae Dedicata. 190:23-51
Let \({\mathscr {N}}\) be a 2-step nilpotent Lie algebra endowed with a non-degenerate scalar product \(\langle .\,,.\rangle \), and let \({\mathscr {N}}=V\oplus _{\perp }Z\), where Z is the centre of the Lie algebra and V its orthogonal complement.
We develop a new framework for the study of generalized Killing spinors, where generalized Killing spinor equations, possibly with constraints, can be formulated equivalently as systems of partial differential equations for a polyform satisfying alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1e86f987bb68a2e955b52ce1994e098
http://arxiv.org/abs/1911.08658
http://arxiv.org/abs/1911.08658
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In this article we give a comprehensive treatment of a `Clifford module flow' along paths in the skew-adjoint Fredholm operators on a real Hilbert space that takes values in KO${}_{*}(\mathbb{R})$ via the Clifford index of Atiyah-Bott-Shapiro. We dev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d53e3fd142b23087098f1d2afb13548
Autor:
Peter Lambert-Cole
Publikováno v:
Advances in Mathematics. 354:106734
We give a new, elementary proof that Khovanov homology with $\mathbb{Z}/2\mathbb{Z}$--coefficients is invariant under Conway mutation. This proof also gives a strategy to prove Baldwin and Levine's conjecture that $\delta$--graded knot Floer homology