Concept
Poincaré duality
Related publications (36)
Correspondence functors and duality
A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. By means of a suitably defined duality, new correspondence functors are constructed, having remarkable p ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2023A Functional Perspective on Information Measures
Since the birth of Information Theory, researchers have defined and exploited various information measures, as well as endowed them with operational meanings. Some were born as a "solution to a problem", like Shannon's Entropy and Mutual Information. Other ...
EPFL2022A Künneth theorem for configuration spaces
We construct a spectral sequence converging to the homology of the ordered configuration spaces of a product of parallelizable manifolds. To identify the second page of this spectral sequence, we introduce a version of the Boardman-Vogt tensor product for ...
2022Serre-Tate theory for Calabi-Yau varieties
Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips the base of its universal deformation with a Frobenius lifting and canonical multipl ...
WALTER DE GRUYTER GMBH2021An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations
We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is the barycentric-dual cellular complex of the starting simplicial mesh, and ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2021Combinatorics of Loop Equations for Branched Covers of Sphere
We prove, in a purely combinatorial way, the spectral curve topological recursion for the problem of enumeration of bi-colored maps, which are dual objects to dessins d'enfant. Furthermore, we give a proof of the quantum spectral curve equation for this pr ...
OXFORD UNIV PRESS2018For Their Own Good and For the Good of Others: Identity Duality in New Venture Evaluation and Investor Decision-Making
Organizing is a managerial process which demands a sense of purpose. When stories about "who we are" and "what we do" are salient and coherent (Voss, Cable & Voss, 2006), organizations can better plan, explain and justify collective action (Whetten & Macke ...
EPFL2018Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation
While the recent theory of compressed sensing provides an opportunity to overcome the Nyquist limit in recovering sparse signals, a solution approach usually takes the form of an inverse problem of an unknown signal, which is crucially dependent on specifi ...
IEEE2017Diffusion gradient boosting for networked learning
Using duality arguments from optimization theory, this work develops an effective distributed gradient boosting strategy for inference and classification by networked clusters of learners. By sharing local dual variables with their immediate neighbors thro ...
2017