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From equivariant vo...
From equivariant volumes to equivariant periods
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- Cassia, Luca (författare)
- Uppsala universitet,Teoretisk fysik
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- Piazzalunga, Nicolo (författare)
- Uppsala universitet,Institutionen för fysik och astronomi,Rutgers State Univ, NHETC, Piscataway, NJ 08854 USA.;Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08854 USA.
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- Zabzine, Maxim (författare)
- Uppsala universitet,Teoretisk fysik
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(creator_code:org_t)
- International Press, 2023
- 2023
- Engelska.
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Ingår i: Advances in Theoretical and Mathematical Physics. - : International Press. - 1095-0761 .- 1095-0753. ; 27:4, s. 961-1064
- Relaterad länk:
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https://doi.org/10.4...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We consider generalizations of equivariant volumes of abelian GIT quotients obtained as partition functions of 1d, 2d, and 3d sudefine these objects and study their dependence on equivariant parameters for non-compact toric Kahler quotients. We generalize the finite-difference equations (shift equations) obeyed by equivariant volumes to these partition functions. The partition functions are annihilated by differential/difference operators that represent equivariant quantum cohomology/K-theory relations of the target and the appearance of compact divisors in these relations plays a crucial role in the analysis of the non-equivariant limit. We show that the expansion in equivariant parameters contains information about genus-zero Gromov-Witten invariants of the target.
Ämnesord
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datorteknik (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Engineering (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
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