<p><span style="color: rgba(0, 0, 0, 1)">This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, c...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwells equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to gener...