Prime forms and higher genus deformed Eisenstein series

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00521943" target="_blank" >RIV/67985840:_____/19:00521943 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1742-6596/1416/1/012044" target="_blank" >http://dx.doi.org/10.1088/1742-6596/1416/1/012044</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/1416/1/012044" target="_blank" >10.1088/1742-6596/1416/1/012044</a>

Result language
angličtina
Original language name
Prime forms and higher genus deformed Eisenstein series
Original language description
Using the theory of Szegő kernel on a genus g Riemann surfaces obtained as a result of the multiple ρ-parameter formalism of sewing of g handles to the complex sphere, we derive new formulas related prime forms, theta functions, and deformed Eisenstein series. We establish recurrent formulas for genus g prime forms and Szegő kernel as well as further identities. Using the above results, we introduce finally another definition of genus g counterpart of genus one deformed Eisenstein series. The results obtained are then useful in computation of vertex algebra related cohomologies.
Czech name
—
Czech description
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Project
<a href="/en/project/GA18-00496S" target="_blank" >GA18-00496S: Singular spaces from special holonomy and foliations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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