LAUSR

The Lee spectral sequence, unknotting number, and the Knight Move Conjecture

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1 Published in 2019 at "Topology and its Applications"

DOI: 10.1016/j.topol.2018.11.020

Abstract: We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u(K). In particular, for knots with u(K) read more here.

Keywords: move conjecture; knight move; unknotting number; lee spectral ... See more keywords

Segal's Spectral Sequence in Twisted Equivariant K-theory for Proper and Discrete Actions

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1 Published in 2018 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s0013091517000281

Abstract: Abstract We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this spectral sequence is isomorphic… read more here.

Keywords: twisted equivariant; spectral sequence; equivariant theory; theory proper ... See more keywords

A Spectral Sequence-Based Nonlocal Long Short-Term Memory Network for Hyperspectral Image Classification

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1 Published in 2022 at "IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing"

DOI: 10.1109/jstars.2022.3159729

Abstract: Efficient classification for hyperspectral image (HSI), which assigns each pixel of the image into a specific category, has been a critical research topic in the HSI analysis area. Under the supervised classification settings, the deep… read more here.

Keywords: network; classification; spectral sequence; hyperspectral image ... See more keywords

Instantons and Bar-Natan homology

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0 Published in 2021 at "Compositio Mathematica"

DOI: 10.1112/s0010437x2000768x

Abstract: A spectral sequence is established whose $E_{2}$ page is Bar-Natan's variant of Khovanov homology and which abuts to a deformation of instanton homology for knots and links. This spectral sequence arises as a specialization of… read more here.

Keywords: natan homology; instantons bar; bar natan; homology ... See more keywords

Unwinding the relative Tate diagonal

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1 Published in 2021 at "Journal of Topology"

DOI: 10.1112/topo.12195

Abstract: We show that a spectral sequence developed by Lipshitz and Treumann, for application to Heegaard Floer theory, converges to a localized form of topological Hochschild homology with coefficients. This allows us to show that the… read more here.

Keywords: hochschild homology; spectral sequence; tate; tate diagonal ... See more keywords