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Geometry and topology of submanifolds and currents / [edited by] Weiping Li and Shihshu Walter Wei.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 646.Publication details: Providence : American Mathematical Society, 2015.Description: ix, 186 p. : illustrations ; 26 cmISBN:
  • 9781470415563 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Plateau Problems in Metric Spaces and Related Homology and Cohomology Theories / Robert M. Hardt -- Relating Equivariant and Motivic Cohomology via Analytic Currents / Pedro F. dos Santos, Paulo Lima-Filho, and Robert M. Hardt -- Braids and Symplectic Reidemeister Zeta Functions / Weiping Li -- Systoles of Surfaces and 3-Manifolds / Lizhi Chen and Weiping Li -- Ideal Theory and Classification on Isoparametric Hypersurfaces / Quo-Shin Chi -- The Hartogs Triangle in Complex Analysis / Mei-Chi Shaw -- Finite Volume Flows and Witten's Deformation / Wenchuan Hu -- On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces / Ralph Howard and Shihshu Walter Wei -- Remarks on Stable Minimal Hypersurfaces in Riemannian Manifolds and Generalized Bernstein Problems / Shihshu Walter Wei, Lina Wu, and Yongsheng Zhang.
Summary: The papers in this volume are mainly from the 2013 Midwest Geometry Conference, held October 19, 2013, at Oklahoma State University, Stillwater, OK, and partly from the 2012 Midwest Geometry Conference, held May 12-13, 2012, at the University of Oklahoma, Norman, OK. The papers cover recent results on geometry and topology of submanifolds.
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Includes bibliographical references.

Plateau Problems in Metric Spaces and Related Homology and Cohomology Theories / Robert M. Hardt --
Relating Equivariant and Motivic Cohomology via Analytic Currents / Pedro F. dos Santos, Paulo Lima-Filho, and Robert M. Hardt --
Braids and Symplectic Reidemeister Zeta Functions / Weiping Li --
Systoles of Surfaces and 3-Manifolds / Lizhi Chen and Weiping Li --
Ideal Theory and Classification on Isoparametric Hypersurfaces / Quo-Shin Chi --
The Hartogs Triangle in Complex Analysis / Mei-Chi Shaw --
Finite Volume Flows and Witten's Deformation / Wenchuan Hu --
On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces / Ralph Howard and Shihshu Walter Wei --
Remarks on Stable Minimal Hypersurfaces in Riemannian Manifolds and Generalized Bernstein Problems / Shihshu Walter Wei, Lina Wu, and Yongsheng Zhang.

The papers in this volume are mainly from the 2013 Midwest Geometry Conference, held October 19, 2013, at Oklahoma State University, Stillwater, OK, and partly from the 2012 Midwest Geometry Conference, held May 12-13, 2012, at the University of Oklahoma, Norman, OK. The papers cover recent results on geometry and topology of submanifolds.

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