Irritate 发表于 2025-3-25 04:37:59
Hall Algebras Associated to 2-Segal Spaces,vers various variants of Hall algebras, such as classical Hall algebras, derived Hall algebras, and motivic Hall algebras. Applying a theory with transfer to other 2-Segal spaces, we obtain classically known algebras, such as Hecke algebras, but also new algebras, such as the ones associated to the cyclic nerve of a category.enterprise 发表于 2025-3-25 10:34:03
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https://doi.org/10.1007/978-3-030-27124-4Higher category theory; Segal Spaces; 2-Segal property; 2-Segal spaces; 1-Segal spaces; pre-category obje羊齿 发表于 2025-3-26 00:15:10
Preliminaries,We recall some aspects of the basic categorical concepts of limits and Kan extensions. For more background on this classical material.受伤 发表于 2025-3-26 05:20:49
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The Path Space Criterion for 2-Segal Spaces,The main result of this chapter is Theorem 6.3.2 which expresses the 2-Segal condition for a simplicial object . in terms of 1-Segal conditions for simplicial analogs of the path space of ., as defined by Illusie.遗产 发表于 2025-3-26 20:41:52
2-Segal Spaces from Higher Categories,All simplicial spaces in this section will be combinatorial, i.e., objects of ..