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Fibred Fibration Categories [PDF]
2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017 We introduce fibred type-theoretic fibration categories which are fibred categories between categorical models of Martin-L\"{o}f type theory. Fibred type-theoretic fibration categories give a categorical description of logical predicates for identity ...
Uemura, Taichi
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On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds [PDF]
Journal of High Energy Physics, 2019 We systematically analyze the fibration structure of toric hypersurface Calabi-Yau threefolds with large and small Hodge numbers. We show that there are only four such Calabi-Yau threefolds with h 1,1 ≥ 140 or h 2,1 ≥ 140 that do not have manifest ...
Yu-Chien Huang, Washington Taylor
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Fibration symmetries uncover the building blocks of biological networks. [PDF]
Proc Natl Acad Sci U S A, 2020 Significance The success of symmetries in explaining the physical world, from general relativity to the standard model of particle physics and all phases of matter, raises the question of why the same concept could not be equally applied to explain ...
Morone F, Leifer I, Makse HA.
europepmc +3 more sources
Categorical notions of fibration [PDF]
Expositiones mathematicae, 2019 Fibrations over a category $B$, introduced to category theory by Grothendieck, encode pseudo-functors $B^{op} \rightsquigarrow {\bf Cat}$, while the special case of discrete fibrations encode presheaves $B^{op} \to {\bf Set}$.
Loregian, Fosco, Riehl, Emily
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Fibration structure in toric hypersurface Calabi-Yau threefolds [PDF]
Journal of High Energy Physics, 2020 We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope.
Yu-Chien Huang, Washington Taylor
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Milnor fibration at infinity for mixed polynomials [PDF]
Open Mathematics, 2014 We study the existence of Milnor fibration on a big enough sphere at infinity for a mixed polynomial f: ℝ2n → ℝ2. By using strongly non-degenerate condition, we prove a counterpart of Némethi and Zaharia’s fibration theorem.
Chen Ying
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Fibration symmetries and cluster synchronization in the Caenorhabditis elegans connectome. [PDF]
PLoS ONECapturing how the Caenorhabditis elegans connectome structure gives rise to its neuron functionality remains unclear. It is through fiber symmetries found in its neuronal connectivity that synchronization of a group of neurons can be determined.
Bryant Avila +4 more
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Birational geometry of the intermediate Jacobian fibration of a cubic fourfold [PDF]
Geometry & Topology, 2020 We show that the intermediate Jacobian fibration associated to any smooth cubic fourfold $X$ admits a hyper-K\"ahler compactification $J(X)$ with a regular Lagrangian fibration $J \to \mathbb P^5$.
Giulia Saccà +1 more
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Circuits with broken fibration symmetries perform core logic computations in biological networks [PDF]
PLoS Comput. Biol., 2020 We show that logic computational circuits in gene regulatory networks arise from a fibration symmetry breaking in the network structure. From this idea we implement a constructive procedure that reveals a hierarchy of genetic circuits, ubiquitous across ...
Ian Leifer +5 more
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Wasit Journal for Pure Sciences, 2022 -In this paper we introduce and study new concept the mixed Serre fibration (M-Serre fibration) on CW-complex space, and Mixed path lifting property (by short M-PLP).
Zahraa Yassin Habeeb, Daher Al Baydli
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