Zobrazeno 1 - 10
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pro vyhledávání: '"Andrew Manion"'
Autor:
Andrew Manion
Publikováno v:
Fundamenta Mathematicae. 253:61-120
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25504661697712f1062c4ae5d8202852
https://doi.org/10.4064/fm762-5-2020
https://doi.org/10.4064/fm762-5-2020
Publikováno v:
Algebr. Geom. Topol. 20, no. 7 (2020), 3607-3706
We define new differential graded algebras 𝒜(n,k,𝒮) in the framework of Lipshitz, Ozsvath and Thurston’s and Zarev’s strands algebras from bordered Floer homology. The algebras 𝒜(n,k,𝒮) are meant to be strands models for Ozsvath and S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::155d013acf9f436d31faa2b8ea5f64b1
https://doi.org/10.2140/agt.2020.20.3607
https://doi.org/10.2140/agt.2020.20.3607
Publikováno v:
Nagoya Mathematical Journal. 244:60-118
We give a generators-and-relations description of differential graded algebras recently introduced by Ozsváth and Szabó for the computation of knot Floer homology. We also compute the homology of these algebras and determine when they are formal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99199ed3744206470a7739bdec25e649
https://doi.org/10.1017/nmj.2020.7
https://doi.org/10.1017/nmj.2020.7
We show that the equivariant hypertoric convolution algebras introduced by Braden-Licata-Proudfoot-Webster are affine quasi hereditary in the sense of Kleshchev and compute the Ext groups between standard modules. Together with the main result of arX
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2a95262482dd617f44c38e6675164c0
http://arxiv.org/abs/2107.06480
http://arxiv.org/abs/2107.06480
Autor:
Andrew Manion
Publikováno v:
Algebr. Geom. Topol. 17, no. 3 (2017), 1557-1674
We describe how to formulate Khovanov's functor-valued invariant of tangles in the language of bordered Heegaard Floer homology. We then give an alternate construction of Lawrence Roberts' Type D and Type A structures in Khovanov homology, and his al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39da35ac8ff6dabfb573afed802ce7c3
https://doi.org/10.2140/agt.2017.17.1557
https://doi.org/10.2140/agt.2017.17.1557
Autor:
Andrew Manion, Aaron D. Lauda
We show that Ozsv\'ath-Szab\'o's bordered algebra used to efficiently compute knot Floer homology is a graded flat deformation of the regular block of a $\mathfrak{q}$-presentable quotient of parabolic category $\mathcal{O}$. We identify the endomorp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d13d01e4e7fa7d3f034a50dc527fbd8e
http://arxiv.org/abs/1910.03770
http://arxiv.org/abs/1910.03770
Autor:
Andrew Manion
We relate decategorifications of Ozsv\'ath-Szab\'o's new bordered theory for knot Floer homology to representations of $\mathcal{U}_q(\mathfrak{gl}(1|1))$. Specifically, we consider two subalgebras $\mathcal{C}_r(n,\mathcal{S})$ and $\mathcal{C}_l(n,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d22f3339cadbd98085544556f806f3a4
http://arxiv.org/abs/1611.08001
http://arxiv.org/abs/1611.08001
Autor:
Andrew Manion
We investigate a relationship between Ozsv\'ath and Szab\'o's bordered theory and the algebras and bimodules constructed by Khovanov-Seidel. Specifically, we show that (a variant of) a special case of Ozsv\'ath-Szab\'o's algebras has a quotient which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0484e0c494bdcb8844739c713ba9bf58
http://arxiv.org/abs/1605.08082
http://arxiv.org/abs/1605.08082
Autor:
Andrew Manion
The 3-strand pretzel knots and links are a well-studied source of examples in knot theory. However, while there have been computations of the Khovanov homology of some sub-families of 3-strand pretzel knots, no general formula has been given for all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4622e77bd7935e5b3f13c5782fe20107
Autor:
Andrew Manion
Publikováno v:
Algebr. Geom. Topol. 14, no. 2 (2014), 753-767
We lift the characteristic-2 totally twisted Khovanov homology of Roberts and Jaeger to a theory with integer coefficients. The result is a complex computing reduced odd Khovanov homology for knots. This complex is equivalent to a spanning-tree compl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65f3fb8272a004b051678600d3283d69