过去一年中添加的文章,按日期排序

A Functorial Perspective on Homological Mirror Symmetry for Hypersurfaces

M Jeffs - 2023 - dash.lib.harvard.edu
39 天前 - … prove that homological mirror symmetry for very affine hypersurfaces respects certain
natural symplectic operations (as functors between partially wrapped Fukaya categories), …

Symmetries of data sets and functoriality of persistent homology

W Chachólski, A De Gregorio, N Quercioli, F Tombari - 2023 - diva-portal.org
48 天前 - … We show that persistent homology preserves only somehomology is not a functor
on the entire category of enriched data sets. Nevertheless we show that persistent homology

Topics in Persistent Homology: From Morse Theory for Minimal Surfaces to Efficient Computation of Image Persistence

M Schmahl - 2023 - archiv.ub.uni-heidelberg.de
167 天前 - … In the first part, we introduce lifespan functors, which are endofunctors on the category
… in the category of barcodes and the category of pointwise finite-dimensional persistence …

[PDF][PDF] STUDIES ON THE HOMOTOPY THEORY BASED ON HOMOLOGICAL GROUPS

T Rupavani - 2023 - ijmer.s3.amazonaws.com
181 天前 - … same with the principal homology gathering of the space. … any gathering. One
might take note of that abelianization is basically a functor from the class Grp to the classification

[PDF][PDF] Derived Representation Schemes, Nakajima Quiver Varieties and Noncommutative Derived Poisson Reduction

S D'Alesio - 2022 - research-collection.ethz.ch
237 天前 - functor, and consequently can be approached by introducing a refined derived
version of the functor, using techniques from homologicalcategory A = Fun(C, ⌋D) of functors

The definable content of homological invariants II:\v {C} ech cohomology and homotopy classification

J Bergfalk, M Lupini, A Panagiotopoulos - arXiv preprint arXiv:2210.11098, 2022 - arxiv.org
262 天前 - … analyze and enrich classical functors from homological algebra and algebraic
topology. In it, we show that the Cech cohomology functors Hn on the category of locally compact …

Extending (-)tilting subcategories and (co)silting modules

J Asadollahi, F Padashnik, S Sadeghi… - arXiv preprint arXiv …, 2022 - arxiv.org
318 天前 - … Section 2 is devoted to study the module category of one-point extension … homological
properties of the restriction and extension functors hold true in the large module category. …

On Noetherian algebras, Schur functors and Hemmer-Nakano dimensions

T Cruz - arXiv preprint arXiv:2208.00291, 2022 - arxiv.org
345 天前 - … Soergel’s functor have better homological properties than the classical one. … In
Subsection 7.1, we study the quality of the Schur functor from the module category over a Schur …