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pro vyhledávání: '"Carlson, Jeffrey D."'
Autor:
Carlson, Jeffrey D.
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 7, Pp 795-796 (2021)
In 1999, Brylinski and Zhang computed the complex equivariant K-theory of the conjugation self-action of a compact, connected Lie group with torsion-free fundamental group. In this note we show it is possible to do so in under a page.
Externí odkaz:
https://doaj.org/article/c73c4b98af434a71ae1e37189f3cedde
Autor:
Carlson, Jeffrey D.
The real singular cohomology ring of a homogeneous space $G/K$, interpreted as the real Borel equivariant cohomology $H^*_K(G)$, was historically the first computation of equivariant cohomology of any nontrivial connected group action. After early ap
Externí odkaz:
http://arxiv.org/abs/2312.02014
Autor:
Carlson, Jeffrey D.
Publikováno v:
C. R. Math. Acad. Sci. Paris, 359(7) (2021), 795-796
In 1999, Brylinski and Zhang computed the complex equivariant K-theory of the conjugation self-action of a compact, connected Lie group with torsion-free fundamental group. In this note we show it is possible to do so in under a page.
Comment: S
Comment: S
Externí odkaz:
http://arxiv.org/abs/2312.00049
Autor:
Carlson, Jeffrey D.
We prove that within a natural class of E_3-algebras, the graded Tor group induced by a span of E_3-algebra maps carries a functorial commutative graded algebra structure generalizing the classical structure when the algebras are genuine commutative
Externí odkaz:
http://arxiv.org/abs/2306.04860
Autor:
Carlson, Jeffrey D., Lane, Jeremy
We prove several new results about the topology of fibers of Gelfand--Zeitlin systems on unitary and orthogonal coadjoint orbits, at the same time finding a unifying framework recovering and shedding light on essentially all known results. We find co
Externí odkaz:
http://arxiv.org/abs/2107.02721
Autor:
Carlson, Jeffrey D.
We compute the Borel equivariant cohomology ring of the left $K$-action on a homogeneous space $G/H$, where $G$ is a connected Lie group, $H$ and $K$ are closed, connected subgroups and $2$ and the torsion primes of the Lie groups are units of the co
Externí odkaz:
http://arxiv.org/abs/2106.02986
Autor:
Carlson, Jeffrey D.
We apply fixed-point techniques to compute the coefficient ring of semifree geometric circle-equivariant complex cobordism with isolated fixed points, recovering a 2004 result of Sinha through 19th-century methods. This should be viewed as an initial
Externí odkaz:
http://arxiv.org/abs/1908.06906
Autor:
Carlson, Jeffrey D.
We compute the equivariant K-theory with integer coefficients of an equivariantly formal isotropy action, subject to natural hypotheses which cover the three major classes of known examples. The proof proceeds by constructing a map of spectral sequen
Externí odkaz:
http://arxiv.org/abs/1810.09685
Autor:
Carlson, Jeffrey D.
We compute the equivariant complex K-theory ring of a cohomogeneity-one action of a compact Lie group at the level of generators and relations and derive a characterization of K-theoretic equivariant formality for these actions. Less explicit express
Externí odkaz:
http://arxiv.org/abs/1805.00502
Publikováno v:
Geometriae Dedicata 203 (2019), 205-223
We compute the rational Borel equivariant cohomology ring of a cohomogeneity-one action of a compact Lie group.
Comment: 20 pages, one figure. Minor corrections and referee suggestions and additional references included. To appear in Geometriae
Comment: 20 pages, one figure. Minor corrections and referee suggestions and additional references included. To appear in Geometriae
Externí odkaz:
http://arxiv.org/abs/1802.02304