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Algebraic Topology and Related Topics

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Mahender Singh

    1. Department of Mathematical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, SAS Nagar, India

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  2. Yongjin Song

    1. Department of Mathematics, Inha University, Incheon, Korea (Republic of)

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  3. Jie Wu

    1. Department of Mathematics, National University of Singapore, Singapore, Singapore

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  • Collects papers on a wide range of algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and knot theory
  • Includes contributions from eminent international researchers, presented at the 7th East Asian Conference on Algebraic Topology held at IISER, Mohali, India
  • Is of immense scientific value to the mathematical community and researchers in algebraic topology

Part of the book series: Trends in Mathematics (TM)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. The Homotopy Type of the Loops on \((n-1)\)-Connected \((2n+1)\)-Manifolds

    • Samik Basu
    Pages 1-25

  3. Whitehead’s Asphericity Question and Its Relation to Other Open Problems

    • A. J. Berrick, J. A. Hillman
    Pages 27-49

  4. Connective K-Theory and the Borsuk–Ulam Theorem

    • M. C. Crabb
    Pages 51-66

  5. Torus Orbifolds with Two Fixed Points

    • Alastair Darby, Shintaro Kuroki, Jongbaek Song
    Pages 67-85

  6. Arc Shift Number for Some Virtual Knots

    • K. Kaur, A. Gill, M. Prabhakar
    Pages 87-101

  7. Exponents of \([\Omega ({\mathbb {S}}^{r+1}), \Omega (Y)]\)

    • Marek Golasiński, Daciberg Lima Gonçalves, Peter Wong
    Pages 103-122

  8. Mayer–Vietoris Sequence for Differentiable/Diffeological Spaces

    • Norio Iwase, Nobuyuki Izumida
    Pages 123-151

  9. Homological Infinity of 4D Universe for Every 3-Manifold

    • Akio Kawauchi
    Pages 153-176

  10. Nielsen Theory on Nilmanifolds of the Standard Filiform Lie Group

    • Jong Bum Lee, Won Sok Yoo
    Pages 177-195

  11. Lickorish-type Construction of Manifolds Over Simple Polytopes

    • Zhi Lü, Wei Wang, Li Yu
    Pages 197-213

  12. KO-Groups of Stunted Complex and Quaternionic Projective Spaces

    • Aniruddha C. Naolekar, Ajay Singh Thakur
    Pages 215-221

  13. The Vector Field Problem for Homogeneous Spaces

    • Parameswaran Sankaran
    Pages 223-264

  14. On a Construction for the Generators of the Polynomial Algebra as a Module Over the Steenrod Algebra

    • Nguyễn Sum
    Pages 265-286

  15. Stellar Stratifications on Classifying Spaces

    • Dai Tamaki, Hiro Lee Tanaka
    Pages 287-313
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Keywords

About this book

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

Editors and Affiliations

  • Department of Mathematical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, SAS Nagar, India

    Mahender Singh

  • Department of Mathematics, Inha University, Incheon, Korea (Republic of)

    Yongjin Song

  • Department of Mathematics, National University of Singapore, Singapore, Singapore

    Jie Wu

About the editors

MAHENDER SINGH is an associate professor at the Indian Institute of Science Education and Research, Mohali, India. He earned his Ph.D. degree in Mathematics from the Harish-Chandra Research Institute, Allahabad, in 2010. His research interests include topology and algebra, particularly problems related to compact group actions on manifolds, equivariant maps, braid groups, automorphisms and cohomology of groups and quandles.
 
YONGJIN SONG is a professor at the Department of Mathematics, Inha University, South Korea. He earned his Ph.D. degree in Topology from Ohio State University, USA. He was also associated with the Naval Academy of Mathematics, Ohio State University, and the Dalian University of Science and Technology. His research interests include algebraic topology, category theory, mapping class groups, various geometric groups, loop space structures and category structures and higher category theory.
 
JIE WU is a professorat the Department of Mathematics, National University of Singapore. He has published over 70 research articles. His research interests are algebraic and geometric topology, homotopy theory, braid groups, modular representation theory and applied topology.

Bibliographic Information

  • Book Title: Algebraic Topology and Related Topics

  • Editors: Mahender Singh, Yongjin Song, Jie Wu

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-981-13-5742-8

  • Publisher: Birkhäuser Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. 2019

  • Hardcover ISBN: 978-981-13-5741-1Published: 11 February 2019

  • eBook ISBN: 978-981-13-5742-8Published: 02 February 2019

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XIII, 313

  • Number of Illustrations: 63 b/w illustrations, 10 illustrations in colour

  • Topics: Algebraic Topology, Functional Analysis

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