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researcher

M. Katz

18 papers hereh-index 332.8k citations196 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author3
  • first author7
  • middle author2
  • last author6

Across the 18 of 18 papers where every author was matched, so the position is known.

fields
  • math.DG16
  • math.AT2

identity via Semantic Scholar / OpenAlex

activity
19982008
most citedSmall values of Lusternik-Schnirelmann and systolic categories for manifolds

7 citations · 17 across the 14 of their papers we have counts for

collaborators
Showing 2005 · math.DGShow all

1 paper · 2 filters

math.DG2005

An optimal systolic inequality for CAT(0) metrics in genus two

Mikhail G. Katz, Stephane Sabourau

We prove an optimal systolic inequality for CAT(0) metrics on a genus~2 surface. We use a Voronoi cell technique, introduced by C.~Bavard in the hyperbolic context. The equality is…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.