Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

Now back in print, this highly regarded book has been updated to reflect recent advances in
the theory of semistable coherent sheaves and their moduli spaces, which include moduli …

A bstract We provide a comprehensive summary of concepts from Calabi-Yau motives
relevant to the computation of multi-loop Feynman integrals. From this we derive several …

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

We use wall-crossing with respect to Bridgeland stability conditions to systematically study
the birational geometry of a moduli space MM of stable sheaves on a K3 surface XX:(a) We …

This graduate level text covers an exciting and active area of research at the crossroads of
several different fields in Mathematics and Physics. In Mathematics it involves Differential …

This up-to-date introduction to Griffiths' theory of period maps and period domains focusses
on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation …

We construct a family of nef divisor classes on every moduli space of stable complexes in
the sense of Bridgeland. This divisor class varies naturally with the Bridgeland stability …

Can artificial intelligence learn mathematics? The question is at the heart of this original
monograph bringing together theoretical physics, modern geometry, and data science. The …

A bstract Kreuzer and Skarke famously produced the largest known database of Calabi-Yau
threefolds by providing a complete construction of all 473,800,776 reflexive polyhedra that …