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pro vyhledávání: '"Earp, Henrique N. S��"'
We formulate and study the isometric flow of $\mathrm{Spin}(7)$-structures on compact $8$-manifolds, as an instance of the harmonic flow of geometric structures. Starting from a general perspective, we establish Shi-type estimates and a correspondenc
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::509dba44525bfd4a7d021141bac9f274
http://arxiv.org/abs/2109.06340
http://arxiv.org/abs/2109.06340
Autor:
Earp, Henrique N. S��
We review a method to construct $\rm{G}_2$--instantons over compact $\rm{G}_2$--manifolds arising as the twisted connected sum of a matching pair of Calabi-Yau $3$-folds with cylindrical end, based on the series of articles [SE15, SEW15, JMPSE17, MNS
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d128dd3ae5f9f4bcf290ad1372c53082
http://arxiv.org/abs/1812.04664
http://arxiv.org/abs/1812.04664
The $7$-dimensional link $K$ of a weighted homogeneous hypersurface on the round $9$-sphere in $\mathbb{C}^5$ has a nontrivial null Sasakian structure which is contact Calabi-Yau, in many cases. It admits a canonical co-closed $\rm G_2$-structure $\v
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c36a0396c37fac8ed9a7bca19b862ec
http://arxiv.org/abs/1606.09271
http://arxiv.org/abs/1606.09271
We describe the mathematical scheme for an anomaly-free ideal spectrometer, based on a 2-dimensional plane medium with conical regions of bounded slope. Moreover, the construction may be realised in many different configurations.
9 pages, 5 figu
9 pages, 5 figu
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::048f0b6f54bf101b2ef98baa02065aaa
http://arxiv.org/abs/1505.07730
http://arxiv.org/abs/1505.07730
Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain noncompact $3-$folds, called building blocks, satisfying a stability condition `at infinity'. Such bundles are known to parametrise so
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c7d956fa191db94cf26464b4a1c6643
http://arxiv.org/abs/1109.2750
http://arxiv.org/abs/1109.2750
Autor:
Earp, Henrique N. S��
This is the first nontrivial construction to date of instantons over a compact manifold with holonomy exactly $G_2$. The HYM connections on asymptotically stable bundles over Kovalev's noncompact Calabi-Yau 3-folds, obtained in the first article, are
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e491e0ff0ab90b4663d3779885fa536
http://arxiv.org/abs/1103.2138
http://arxiv.org/abs/1103.2138