Manifold Atlas: References

The bibliography

If the reference you need is already in the bibliography then you can simply cite it as explained below.

If you need to create a new reference there are two possibilities.

• If the work to be referred to is reviewed at either MathSciNet or Zentralblat or if it is stored on the arXiv then you can create the reference automatically.
• In general you can create a reference by hand starting from the create box at the top of the Biblography page:
  • in this case please read the bibliographic conventions below.

Citing references

To cite a document simply type either of the following equivalent commands:

• {{cite|Author&...&AuthorYear}}
• \cite{Author&...&AuthorYear}

The convention for citation names in the Manifold Atlas is:

• full author family names separated by & and followed by the date of publication.

An example citation with generating text is:

The group of homotopy $n$$\newcommand{\Z}{\mathbb{Z}} \newcommand{\R}{\mathbb{R}} \newcommand{\C}{\mathbb{C}} \newcommand{\N}{\mathbb{N}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\F}{\mathbb{F}} \newcommand{\bZ}{\mathbb{Z}} \newcommand{\bR}{\mathbb{R}} \newcommand{\bC}{\mathbb{C}} \newcommand{\bH}{\mathbb{H}} \newcommand{\bQ}{\mathbb{Q}} \newcommand{\bF}{\mathbb{F}} \newcommand{\bN}{\mathbb{N}} \DeclareMathOperator\id{id} % identity map \DeclareMathOperator\Sq{Sq} % Steenrod squares \DeclareMathOperator\Homeo{Homeo} % group of homeomorphisms of a topoloical space \DeclareMathOperator\Diff{Diff} % group of diffeomorphisms of a smooth manifold \DeclareMathOperator\SDiff{SDiff} % diffeomorphism under some constraint \DeclareMathOperator\Hom{Hom} % homomrphism group \DeclareMathOperator\End{End} % endomorphism group \DeclareMathOperator\Aut{Aut} % automorphism group \DeclareMathOperator\Inn{Inn} % inner automorphisms \DeclareMathOperator\Out{Out} % outer automorphism group \DeclareMathOperator\vol{vol} % volume \newcommand{\GL}{\text{GL}} % general linear group \newcommand{\SL}{\text{SL}} % special linear group \newcommand{\SO}{\text{SO}} % special orthogonal group \newcommand{\O}{\text{O}} % orthogonal group \newcommand{\SU}{\text{SU}} % special unitary group \newcommand{\Spin}{\text{Spin}} % Spin group \newcommand{\RP}{\Rr\mathrm P} % real projective space \newcommand{\CP}{\Cc\mathrm P} % complex projective space \newcommand{\HP}{\Hh\mathrm P} % quaternionic projective space \newcommand{\Top}{\mathrm{Top}} % topological category \newcommand{\PL}{\mathrm{PL}} % piecewise linear category \newcommand{\Cat}{\mathrm{Cat}} % any category \newcommand{\KS}{\text{KS}} % Kirby-Siebenmann class \newcommand{\Hud}{\text{Hud}} % Hudson torus \newcommand{\Ker}{\text{Ker}} % Kernel \newcommand{\underbar}{\underline} %Classifying Spaces for Families of Subgroups \newcommand{\textup}{\text} \newcommand{\sp}{^}n$-spheres is finite for $n \neq 3$$n \neq 3$ [Kervaire&Milnor1963].

... {{cite|Kervaire&Milnor1963}}.

To refer to a specific part of a source type {{cite|reference|part}}. For example:

Simply connected, smooth 5-dimensional h-cobordisms are homeomorphic to products [Freedman1982, Theorem 1.3].

... {{cite|Freedman1982|Theorem 1.3}}.

Direct citing

If you wish to directly cite a reference without adding it to the reference section or in a context where there is no reference section using the following:

• {{citeD|Milnor1956}} creates the following link [Milnor1956]
• {{citeD|Milnor1956|Your choice of link text}} creates the following link [Milnor1956, Your choice of link text]

In both case, the reference is added to the reference section.

Open references

If you type a reference, e.g. {{cite|Milnor1957}} into a page containing the {{#RefList:}} command and the reference you type is not in the bibliography into a page containing the command then the following occurs.

• The reference will appear as a blue link in your text and
• The reference will appear as an open link in the Reference section:
  • if you do not have time to create a reference, this is acceptable Atlas-practice for referencing in the short-term provided the reference name is correctly formed.

The Reference section

• All pages which cite references should finish with a section entitled References.
• It is best to generate the reference list automatically : simply place the following command as the sole text in the Reference section:

{{#RefList:}}

External links section

You may also wish to add a section for External links, e.g. External links.

• Please place the External links section immediately following the References section.
• External links to most web-sites need be added by hand in the usual way as links to external URLs.
• For external links to the Encyclopedia of Mathematics and Wikipedia please use the following standard forms

* The Encylopedia of Mathematics article on 
[http://www.encyclopediaofmath.org/index.php/Page_name link text]
* The Wikipedia page about [[Wikipedia:Page_name|link text]]

• If you do externally link to a Wikipedia page, please also consider editing the Wikipedia page by adding a link to the Atlas page in the External links section of the Wikipedia page. A standard form follows:

==<sectioncount/> External links ==
...
*[http://www.map.mpim-bonn.mpg.de/Page_name link text] at the Manifold Atlas

Creating new references

• If the document for the reference is reviewed on MathSciNet or stored on the arXiv then you can generate a reference to it automatically.

• You can create new references by hand in the box at the top of the bibliography page:
  • Type the author names(s) followed by the publication year of the article into the box:
  • e.g. Freedman1982 or Kervaire&Milnor1963.
  • You will arrive at a new template page for the reference: follow the instructions in the template using the conventions below.

Bibliographic conventions

• When creating a reference, please follow the conventions established by the following examples: journal article, book.

• In particular, if a reference is available online please hyperlink the title of the reference to its online source.

• Make sure that the source-code for the reference concludes with the text: <noinclude>[[Category:Bibliography]]</noinclude>.

Writing about references

Each reference lives on its own template page. This page can contain further mathematical comments on the work cited:

• ensure that further writing appears inside the command <noinclude> ... </noinclude>:
• see for example Davis&Pearson2003.

There is also a discussion page if you wish to make less formal points about the work or to open a discussion about the work.

If you know of corrections to statements in a work, please create a section

• == Corrections ==

and add your corrections. Where possible give references to the literature for corrections and only include corrections of which you are 100% certain. If you are unsure about a point, raise it in a Comments section or on the discussion page.

Please sign your correction by adding ~~~~ on a seperate line at the end of your correction.

• see for example Davis&Pearson2003.

If you wish to make some general comments on the work cited, please create a section

• == Comments ==

and make your comments.

References

• [Freedman1982] M. H. Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982), no.3, 357–453. MR679066 (84b:57006) Zbl 0528.57011
• [Kervaire&Milnor1963] M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR0148075 (26 #5584) Zbl 0115.40505