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pro vyhledávání: '"Stephen Theriault"'
Autor:
Stephen Theriault
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 317:168-178
Изучаются изменения гомотопического типа полиэдрального произведения при взятии связной суммы двух симплициальных комплексов. Ответ
Publikováno v:
European Journal of Mathematics. 7(3):1245-1252
The homotopy types of gauge groups of principal $$\mathrm{SO}(4)$$ SO ( 4 ) -bundles over $$S^{4}$$ S 4 are classified p-locally for every prime p, and partial results are obtained integrally. The method generalizes to deal with any quotient of the f
Autor:
Daisuke Kishimoto, Stephen Theriault
Let $G$ be a simply-connected, simple compact Lie group of type $\{n_{1},\ldots,n_{\ell}\}$, where $n_{1}\le\cdots \le n_{\ell}$. Let $\mathcal{G}_k$ be the gauge group of the principal $G$-bundle (namedright{P}{}{S^{4}}) whose isomorphism class is d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b953d03286d665f28de59fa5e4e8b97
https://eprints.soton.ac.uk/470444/
https://eprints.soton.ac.uk/470444/
Autor:
Ruizhi Huang, Stephen Theriault
Publikováno v:
Research in the Mathematical Sciences. 9
Beben and Wu showed that ifMis a$$(2n-2)$$(2n-2)-connected$$(4n-1)$$(4n-1)-dimensional Poincaré Duality complex such that$$n\ge 3$$n≥3and$$H^{2n}(M;{{\mathbb {Z}}})$$H2n(M;Z)consists only of odd torsion, then$$\Omega M$$ΩMcan be decomposed up to
Autor:
Stephen Theriault
In this paper, we show that the gauge group of a principal [Formula: see text]-bundle over a compact Riemann surface decomposes up to homotopy as the product of factors, one of which is a corresponding gauge group for [Formula: see text] and the othe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fe2507b30952238f3657cab40b02d90
https://eprints.soton.ac.uk/454318/
https://eprints.soton.ac.uk/454318/
Autor:
Paul Selick, Stephen Theriault
Publikováno v:
Topology and its Applications. 317:108163
The different constructions of a classifying space for the fibre of the double suspension by Gray and the authors are shown to be essentially the same, up to a homotopy equivalence. We go on to compare a variety of maps Ω 2S 2np+1⟶S 2np−1 that a
Autor:
Tseleung So, Stephen Theriault
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 305:309-329
Вычисляется количество различных гомотопических типов калибровочных групп главных $\mathrm {Sp}(2)$-расслоений над замкнутым односвязным чет
Autor:
Tseleung So, Stephen Theriault
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 305:287-304
We determine the number of distinct homotopy types for the gauge groups of principal Sp(2)-bundles over a closed simply connected four-manifold.
Autor:
Shizuo Kaji, Stephen Theriault
Publikováno v:
Acta Mathematica Sinica, English Series. 35:445-462
If $G$ is a compact connected Lie group and $T$ is a maximal torus, we give a wedge decomposition of $\Sigma G/T$ by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of $G/T$.
Comment: a mi
Comment: a mi
Publikováno v:
Proceedings of the American Mathematical Society. 147:1751-1762
The $p$-local homotopy types of gauge groups of principal $G$-bundles over $S^4$ are classified when $G$ is a compact connected exceptional Lie group without $p$-torsion in homology except for $(G,p)=(\mathrm{E}_7,5)$.
Comment: 12 pages
Comment: 12 pages