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math.GTJan 20, 2020
2
citations (OpenAlex)
authors
  • Vladimir Chernov
  • Gage Martin
  • Ina Petkova
institutions
  • Boston College
  • Dartmouth College
arXiv abstractPDF
paper

Khovanov homology and causality in spacetimes

arXiv:2001.07274 · doi:10.1063/5.0002297

Abstract

We observe that Khovanov homology detects causality in (2+1)-dimensional globally hyperbolic spacetimes whose Cauchy surface is homeomorphic to R2

arXiv comment4 pages, 1 figure

References in corpus (10)

  • On smooth Cauchy hypersurfaces and Geroch's splitting theorem
  • Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
  • Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
  • Non-negative Legendrian isotopy in ST∗M
  • Legendrian links, causality, and the Low conjecture
  • Linking and causality in globally hyperbolic spacetimes
  • Stable singularities of wave-fronts in general relativity
  • Universal orderability of Legendrian isotopy classes
  • Instanton Floer homology for sutured manifolds with tangles
  • Causality and Legendrian linking for higher dimensional spacetimes

Cited by in corpus (2)

  • Do Link Polynomials Detect Causality In Globally Hyperbolic Spacetimes?
  • Detecting Causality with Symplectic Quandles
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