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Spatial refinements and Khovanov homology

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Robert Lipshitz, Sucharit Sarkar

Geometric Topology · Submitted 11 Sep 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We review the construction and context of a stable homotopy refinement of Khovanov homology.

how it is stated · asserted 0.72 read the record →

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arXiv ID1709.03602 (version 2)
Pith IDDT5SCM7K, Pith's permanent record of this paper and its review
CitationRobert Lipshitz, Sucharit Sarkar. "Spatial refinements and Khovanov homology." arXiv:1709.03602 (2017). https://pith.science/paper/DT5SCM7K
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,571 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We review the construction and context of a stable homotopy refinement of Khovanov homology.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We review the construction and context of a stable homotopy refinement of Khovanov homology. contribution 0.77 0.16 0.17 asserted 0.72

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.91.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We review the construction and context of a stable homotopy refinement of Khovanov homology.

Human review

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How the literature uses it

1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper
  • We will freely refer to the results and notation of [ref] and [ref] in what follows (see also the survey [ref] ).

    Extreme Khovanov spectra · Functors to the Burnside category · 0.88

What it cites · 28 sentences without a confident label

Uses the method or tool of 1 paper
  • Most of this note is an outline of a construction of a Khovanov homotopy type, following our work with Lawson [ref] and Hu-Kriz-Kriz's paper [ref] , with an emphasis on the general question of stable homotopy refinements of chain complexes.

    Khovanov homotopy type, Burnside category, and products · Introduction · 0.90

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