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Realization of numbers as the degrees of maps between manifolds

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Publication:606290
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DOI10.1007/s10114-010-9102-7zbMath1205.55003OpenAlexW2004122163MaRDI QIDQ606290

Fei Xu, Young Min Lee

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9102-7


zbMATH Keywords

integral quadratic formdegree of a maporiented closed manifold


Mathematics Subject Classification ID

Degree, winding number (55M25) Quadratic forms over global rings and fields (11E12)


Related Items (3)

Counting homotopy classes of mappings via Dijkgraaf-Witten invariants ⋮ Mapping degrees between spherical $ 3$-manifolds ⋮ Self-homeomorphisms and degree \(\pm 1\) self-maps on lens spaces



Cites Work

  • Unnamed Item
  • The degrees of maps between manifolds
  • Non-zero degree maps between \(2n\)-manifolds
  • Computing degree of maps between manifolds
  • Classification of (n-1)-connected 2n-manifolds
  • The Integral Representations of Quadratic Forms Over Local Fields
  • Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
  • Some Historical Remarks Concerning Degree Theory


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