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A Proof of the Extended Delta Conjecture
Published Web Location
https://www.cambridge.org/core/journals/forum-of-mathematics-pi/article/proof-of-the-extended-delta-conjecture/5F8020299D6CB2DEFAD8783FDC66F784No data is associated with this publication.
Abstract
We prove the extended delta conjecture of Haglund, Remmel and Wilson, a combinatorial formula for, where and are Macdonald eigenoperators and is an elementary symmetric function. We actually prove a stronger identity of infinite series of characters expressed in terms of LLT series. This is achieved through new results in the theory of the Schiffmann algebra and its action on the algebra of symmetric functions.
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