Iterated integrals on affine curves
Martin Luu, Albert Schwarz
TL;DR
This paper explores the properties of homotopy invariant iterated integrals on affine curves, motivated by applications in string theory amplitude calculations.
Contribution
It establishes fundamental properties of these integrals, advancing mathematical tools relevant to string theory and algebraic geometry.
Findings
Defined homotopy invariant iterated integrals on affine curves
Proved basic properties and invariance under homotopy
Connected integrals to amplitude calculations in string theory
Abstract
Motivated by amplitude calculations in string theory we establish basic properties of homotopy invariant iterated integrals on affine curves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models