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researcher

Michael Usher

28 papers hereh-index 16897 citations42 works total

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

author position
  • sole author24
  • first author1
  • last author3

Across the 28 of 28 papers where every author was matched, so the position is known.

fields
  • math.SG25
  • math.AT2
  • math.GT1

identity via Semantic Scholar / OpenAlex

activity
20032025
most citedSpectral numbers in Floer theories

76 citations · 308 across the 22 of their papers we have counts for

collaborators
Showing 2007 · math.SGShow all

2 papers · 2 filters

math.SG2007★ 76 cited

Spectral numbers in Floer theories

Michael Usher

The chain complexes underlying Floer homology theories typically carry a real-valued filtration, allowing one to associate to each Floer homology class a spectral number defined as…

math.SG2007★ 21 cited

Kodaira dimension and symplectic sums

Michael Usher

Modulo trivial exceptions, we show that smoothly nontrivial symplectic sums of symplectic 4-manifolds along surfaces of positive genus are never rational or ruled, and we enumerate…

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