nLab Alexander Voronov

• website

Selected writings

• Murray Gerstenhaber, Alexander Voronov, Homotopy G-algebras and moduli space operad, Internat. Math. Research Notices (1995) 141-153 (arXiv:hep-th/9409063)

On string topology:

• Ralph Cohen, Alexander Voronov, Notes on string topology, in: Ralph Cohen, Kathryn Hess, Alexander Voronov, String topology and cyclic homology, Advanced courses in mathematics CRM Barcelona, Birkhäuser 2006 (math.GT/05036259, doi:10.1007/3-7643-7388-1, pdf)

On the super-moduli space of super Riemann surfaces (providing an explicit construction of the supermoduli space in genus zero in the presence of Ramond punctures):

• Nadia Ott, Alexander A. Voronov, The supermoduli space of genus zero SUSY curves with Ramond punctures [arXiv:1910.05655]

On mysterious duality/U-duality understood via Hypothesis H by automorphisms of iterated cyclic loop spaces of the 4-sphere:

• Alexander Voronov (joint with Hisham Sati), Mysterious Duality, talk at Texas Tech 2021 (abstract pdf pdf, slides pdf, pdf)

• Hisham Sati, Alexander Voronov, Mysterious Triality and Rational Homotopy Theory [arXiv:2111.14810]

• Hisham Sati, Alexander Voronov, Mysterious Triality and M-Theory [arXiv:2212.13968]

• Hisham Sati, Alexander A. Voronov: Section 2 of: Mysterious Triality and the Exceptional Symmetry of Loop Spaces [arXiv:2408.13337]

On super string scattering amplitudes:

• Sergio Cacciatori, Samuel Grushevsky, Alexander A. Voronov, Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector [arXiv:2403.09600]

On rational homotopy theory in mathematical physics, such as in Hypothesis H:

• Alexander A. Voronov, Rational Homotopy Theory in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2404.00939]

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