Sample HTML file: produced with lwarp, with mathematical formulae displayed with MathJax, and xymatrix commutative diagrams displayed with XyJax-v3

2 Examples: xymatrix diagrams displayed with Xy-Jaxv3 using Lwarp

This is an example of a HTML file with:

  • • Mathematical formulae displayed with MathJax:

    (1)x2+y2=1,

    (xγy)π1(X,X0),

    πi(Eb,x)ιπi(E,x)πi(B,b)δπi1(Eb,x)ιπ1(E,x)π1(B,b)δxπ0(Eb)ιπ0(E)={0}.

  • • To see how lecture notes look like with Lwarp, see subsections 6.1 and 6.2.

  • • This configuration is compatible with AMS-CD commutative diagrams, e.g. this diagram from the amscd package manual:

    AbaBlrlrCbaD

  • • Commutative diagrams drawn with Xy-pic displayed by using XyJax-v3.
    For a good introduction to typeseting diagrams with Xy-pic see e.g.

    E.g.

    S3fgS4πS4/V,

    QQ(ω)Q(γ)Q(β)Q(α),Q(α,β,γ)

    (123).=,

    Aι0AfXι0XgB,A×IHf×idIX×IH

    yH0H1(x,y)H1(y,z)yH0η(x,y)η(y,z)projyH0H1(x,y)H1(y,z)yYη(x,y)η(y,z)yH0H2(x,y)H2(y,z)projyH0H2(x,y)H2(y,z),

    yYH(X,Y)M1(,y)H(Y,Z)M2(y,)2H(X,Y)W12H(Y,Z)W2η(X,Y,Z)M1,M2H(X,Z)M1×YM22H(X,Z)W1#0W2yYH(X,Y)N1(,y)H(Y,Z)N2(y,)η(X,Y,Z)N1,N2H(X,Z)N1×YN2.

    CFFηD

    T×TτRT×TT.

    CCη,ηTbf,fT,TGrp.

    CFηFηFD=CFFη#1ηD

    (Cob(n,n+1,n+2))3id××idχ×FBαFB×FB×FB(Prof)3×id(Cob(n,n+1,n+2))2(Cob(n,n+1,n+2))2χFB×FB(Prof)2(Cob(n,n+1,n+2))FBProfω(Cob(n,n+1,n+2))3id×FB×χFB×FB×FB(Prof)3α×idid×(Cob(n,n+1,n+2))2χFB×FB(Prof)2(Prof)2(Cob(n,n+1,n+2))FBProf.