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Catarina C. Carvalho

2 papers hereh-index 15 citations6 works total

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

author position
  • sole author1
  • middle author1

Across the 2 of 2 papers where every author was matched, so the position is known.

fields
  • math.DG1
  • math.KT1

identity via Semantic Scholar / OpenAlex

most citedCobordism invariance of the family index

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2024

Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras

Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1

We study Schrödinger operators H:=−Δ+V with potentials V that have power-law growth (not necessarily polynomial) at 0 and at ∞ using methods of Lie theory (Lie-Rinehar…

math.KT2008★ 1 cited

Cobordism invariance of the family index

Catarina Carvalho

We give a K-theory proof of the invariance under cobordism of the family index. We consider elliptic pseudodifferential families on a continuous fibre bundle with smooth fibres ove…

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