Publikation: Equivariant Euler Characteristics on Permutohedral Varieties
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Datum
2024
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Deutsche Forschungsgemeinschaft (DFG): 467575307
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Open Access-Veröffentlichung
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Core Facility der Universität Konstanz
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NAGEL, Uwe, Hrsg., Karim ADIPRASITO, Hrsg., Roberta DI GENNARO, Hrsg. und andere. Lefschetz Properties : Current and New Directions. Singapore: Springer, 2024, S. 129-154. Springer INdAM Series (SINDAMS). 59. ISSN 2281-518X. eISSN 2281-518X. ISBN 978-981-97-3885-4. Verfügbar unter: doi: 10.1007/978-981-97-3886-1_7
Zusammenfassung
Binomial coefficients can be interpreted as a solution to an intersection problem on a permutohedral variety XE. Applying Hirzebruch-Riemann-Roch, this intersection problem is equivalent to computing Euler characteristic of a specific element of K-theory of XE. This element has a natural lifting to equivariant K-theory and thus the Euler characteristic may be upgraded to a Laurent polynomial. We provide and implement three different approaches, in particular a recursive one, to computing these polynomials.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
T-equivariant cohomology, Equivariant Euler characteristics, Permutohedron
Konferenz
INdAM Meeting : The Strong and Weak Lefschetz Properties Workshop 2022 (SLP-WLP), 12. Sept. 2022 - 16. Sept. 2022, Cortona, Italy
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GALGANO, Vincenzo, Hanieh KENESHLOU, Mateusz MICHALEK, 2024. Equivariant Euler Characteristics on Permutohedral Varieties. INdAM Meeting : The Strong and Weak Lefschetz Properties Workshop 2022 (SLP-WLP). Cortona, Italy, 12. Sept. 2022 - 16. Sept. 2022. In: NAGEL, Uwe, Hrsg., Karim ADIPRASITO, Hrsg., Roberta DI GENNARO, Hrsg. und andere. Lefschetz Properties : Current and New Directions. Singapore: Springer, 2024, S. 129-154. Springer INdAM Series (SINDAMS). 59. ISSN 2281-518X. eISSN 2281-518X. ISBN 978-981-97-3885-4. Verfügbar unter: doi: 10.1007/978-981-97-3886-1_7BibTex
@inproceedings{Galgano2024Equiv-70865, year={2024}, doi={10.1007/978-981-97-3886-1_7}, title={Equivariant Euler Characteristics on Permutohedral Varieties}, number={59}, isbn={978-981-97-3885-4}, issn={2281-518X}, publisher={Springer}, address={Singapore}, series={Springer INdAM Series (SINDAMS)}, booktitle={Lefschetz Properties : Current and New Directions}, pages={129--154}, editor={Nagel, Uwe and Adiprasito, Karim and Di Gennaro, Roberta}, author={Galgano, Vincenzo and Keneshlou, Hanieh and Michalek, Mateusz} }
RDF
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