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UID:20260415T071952EDT-0363r5ONGi@132.216.98.100
DTSTAMP:20260415T111952Z
DESCRIPTION:Title: The duals of Feynman integrals.\n\nAbstract: We elucidat
 e the vector space (twisted relative cohomology) that is Poincaré dual to 
 the vector space of Feynman integrals (twisted cohomology) in general spac
 etime dimension. The pairing between these spaces — an algebraic invariant
  called the intersection number — extracts integral coefficients for a min
 imal basis\, bypassing the generation of integration-by-parts identities. 
 Dual forms turn out to be much simpler than their Feynman counterparts: th
 ey are supported on maximal cuts of various sub-topologies (boundaries). T
 hus\, they provide a systematic approach to generalized unitarity\, the re
 construction of amplitudes from on-shell data. As an application of our fo
 rmalism\, we derive compact differential equations satisfied by arbitrary 
 one-loop integrals in non-integer spacetime dimension and show how to use 
 the intersection number to express a scattering amplitude in terms of a mi
 nimal basis of integrals. We also examine the 4-dimensional limit of our f
 ormalism and provide prescriptions for extracting rational terms.\n\nTo ge
 t your Zoom access\, please subscribe to the lists of your choice: https:/
 /forms.gle/axqFGSkRkbkdFtE68\n
DTSTART:20220405T193000Z
DTEND:20220405T203000Z
SUMMARY:Andrzej Pokraka (McGill University)
URL:https://www.mcgill.ca/mathstat/channels/event/andrzej-pokraka-mcgill-un
 iversity-338879
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