null

Recently Viewed

New

Seeing Four-dimensional Space And Beyond: Using Knots! by Eiji Ogasa 9789811275128

No reviews yet Write a Review
RRP: £70.00
£60.84
Booksplease saves you

  Delivery: We ship to over 200 countries!
  Range: Millions of books available
  Reviews: Booksplease rated "Excellent" on Trustpilot

SKU:
9789811275128
Weight:
526.00 Grams
Available from Booksplease!
Availability: Usually dispatched within 3 working days

Frequently Bought Together:

Total: Inc. VAT
Total: Ex. VAT

Description

According to string theory, our universe exists in a 10- or 11-dimensional space. However, the idea the space beyond 3 dimensions seems hard to grasp for beginners. This book presents a way to understand four-dimensional space and beyond: with knots! Beginners can see high dimensional space although they have not seen it.With visual illustrations, we present the manipulation of figures in high dimensional space, examples of which are high dimensional knots and n-spheres embedded in the (n+2)-sphere, and generalize results on relations between local moves and knot invariants into high dimensional space.Local moves on knots, circles embedded in the 3-space, are very important to research in knot theory. It is well known that crossing changes are connected with the Alexander polynomial, the Jones polynomial, HOMFLYPT polynomial, Khovanov homology, Floer homology, Khovanov homotopy type, etc. We show several results on relations between local moves on high dimensional knots and their invariants.The following related topics are also introduced: projections of knots, knot products, slice knots and slice links, an open question: can the Jones polynomial be defined for links in all 3-manifolds? and Khovanov-Lipshitz-Sarkar stable homotopy type. Slice knots exist in the 3-space but are much related to the 4-dimensional space. The slice problem is connected with many exciting topics: Khovanov homology, Khovanv-Lipshits-Sarkar stable homotopy type, gauge theory, Floer homology, etc. Among them, the Khovanov-Lipshitz-Sarkar stable homotopy type is one of the exciting new areas; it is defined for links in the 3-sphere, but it is a high dimensional CW complex in general.Much of the book will be accessible to freshmen and sophomores with some basic knowledge of topology.

Book Information
ISBN 9789811275128
Author Eiji Ogasa
Format Hardback
Page Count 255
Imprint World Scientific Publishing Co Pte Ltd
Publisher World Scientific Publishing Co Pte Ltd

Reviews

No reviews yet Write a Review

Booksplease  Reviews


J - United Kingdom

Fast and efficient way to choose and receive books

This is my second experience using Booksplease. Both orders dealt with very quickly and despatched. Now waiting for my next read to drop through the letterbox.

J - United Kingdom

T - United States

Will definitely use again!

Great experience and I have zero concerns. They communicated through the shipping process and if there was any hiccups in it, they let me know. Books arrived in perfect condition as well as being fairly priced. 10/10 recommend. I will definitely shop here again!

T - United States

R - Spain

The shipping was just superior

The shipping was just superior; not even one of the books was in contact with the shipping box -anywhere-, not even a corner or the bottom, so all the books arrived in perfect condition. The international shipping took around 2 weeks, so pretty great too.

R - Spain

J - United Kingdom

Found a hard to get book…

Finding a hard to get book on Booksplease and with it not being an over inflated price was great. Ordering was really easy with updates on despatch. The book was packaged well and in great condition. I will certainly use them again.

J - United Kingdom