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The Neumann's Problem for Differential Forms on Riemannian Manifolds
  • Language: en
  • Pages: 64
A Survey of Trace Forms of Algebraic Number Fields
  • Language: en
  • Pages: 330

A Survey of Trace Forms of Algebraic Number Fields

Every finite separable field extension F/K carries a canonical inner product, given by trace(xy). This symmetric K-bilinear form is the trace form of F/K.When F is an algebraic number field and K is the field Q of rational numbers, the trace form goes back at least 100 years to Hermite and Sylvester. These notes present the first systematic treatment of the trace form as an object in its own right. Chapter I discusses the trace form of F/Q up to Witt equivalence in the Witt ring W(Q). Special attention is paid to the Witt classes arising from normal extensions F/Q. Chapter II contains a detailed analysis of trace forms over p-adic fields. These local results are applied in Chapter III to pro...

Odd Order Group Actions and Witt Classification of Innerproducts
  • Language: en
  • Pages: 206
On the Construction of Periodic Maps Without Fixed Points
  • Language: en
  • Pages: 30

On the Construction of Periodic Maps Without Fixed Points

  • Type: Book
  • -
  • Published: 1958
  • -
  • Publisher: Unknown

None

Differentiable Periodic Maps
  • Language: en
  • Pages: 155

Differentiable Periodic Maps

This research tract contains an exposition of our research on bordism and differentiable periodic maps done in the period 1960-62. The research grew out of the conviction, not ours alone, that the subject of transformation groups is in need of a large infusion of the modern methods of algebraic topology. This conviction we owe at least in part to Armand Borel; in particular Borel has maintained the desirability of methods in transformation groups that use differentiability in a key fashion [9, Introduction], and that is what we try to supply here. We do not try to relate our work to Smith theory, the homological study of periodic maps due to such a large extent to P. A. Smith; for a modern d...

Selecta
  • Language: en
  • Pages: 460

Selecta

None

Proceedings of the Board of Regents
  • Language: en
  • Pages: 1828

Proceedings of the Board of Regents

  • Type: Book
  • -
  • Published: 1954
  • -
  • Publisher: Unknown

None

Report of the National Academy of Sciences
  • Language: en

Report of the National Academy of Sciences

None

Annual Report - National Academy of Engineering
  • Language: en
  • Pages: 416

Annual Report - National Academy of Engineering

  • Type: Book
  • -
  • Published: 1970
  • -
  • Publisher: Unknown

None

Manifolds and $K$-Theory
  • Language: en
  • Pages: 274

Manifolds and $K$-Theory

This volume contains the proceedings of the conference on Manifolds, -Theory, and Related Topics, held from June 23–27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, -theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds. This volume is a tribute to the influence of Tom Goodwillie in these fields.