The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time.
Key Features
* Treats differential geometry, differential topology, and quantum field theory
* Includes elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory
* Tackles problems of quantum field theory using differential topology as a tool

Parallel Lines is a collection of eight very different scenarios set in seven very different versions of Earth. Each mission is self-contained, but the collection can be played as a complete campaign with the characters forming an elite team in Valhalla's Mjollnir Section.The adventures include the Salem Witch Trials, a post-apocalyptic Camargue, an Orwellian Britain, epic journeys by airship and Trans-Siberian Express, a voyage to the bottom of the sea, an investigation through the streets of a disintegrating Edinburgh, and a murder hunt through a dystopian London.Packed with wild ideas and creative locations, along with dozens of colourful NPCs (and some distinctly weird ones), Parallel Lines is transplanar adventuring at its very best.Parallel Lines requires access to both Luther Arkwright: Roleplaying Across the Parallels and Mythras for full enjoyment.

Not one Earth, but an infinity of them, existing in parallel continua, their own paths, own histories, own futures, own mistakes. Most are unaware of the existence of a multiverse; but some parallels know that Earth is not alone, but mirrored.ZeroZero knows. It watches the parallels, ensures their stability. ZeroZero knows that instability spreads like a disease, infecting each parallel until a critical mass is reached and cataclysm is guaranteed.The Disruptors know. And they are intent on subverting the multiverse for their own ends, to destabilise countries, instigate wars, bring about destruction.The Valhalla Project was established to stop the Disruptors; to uncover their plans, identify their agents, and eliminate them. Their best agent is Luther Arkwright, unique in the multiverse, a powerful psychic, but himself unstable. Arkwright does not work alone. There are others. You.Based on Bryan Talbot's acclaimed graphic novels,Luther Arkwright: Roleplaying Across the Parallelsis a Mythras supplement introducing the Arkwright multiverse and all the rules needed for adventuring in countless parallel dimensions. This book contains game rules for contemporary character creation, psionics, technology, firearms, vehicles and more!

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.