Topology change with Morse functions: progress on the Borde-Sorkin conjecture [PDF]
Leonardo García-Heveling
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The Swampland Conjecture Bound Conjecture
I conjecture an upper bound on the number of possible swampland conjectures by comparing the entropy required by the conjectures themselves to the Beckenstein-Hawking entropy of the cosmological horizon. Assuming of order 100 kilobits of entropy per conjecture, this places an upper bound of order $10^{117}$ on the number of conjectures.
openaire +2 more sources
Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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Vertex-Disjoint Subtournaments of Prescribed Minimum Outdegree or Minimum Semidegree: Proof for Tournaments of a Conjecture of Stiebi [PDF]
Nicolas Lichiardopol
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Generalized nonvanishing conjecture and Iitaka conjecture
In this article, we will prove the Generalized Nonvanishing Conjecture holds for threefolds with either $κ>0$ or $q>0$. As a result, we can prove the Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has non-negative Kodaira dimension, if the general fibre has positive Kodaira dimension, or if the base space is not threefold with $κ=
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
On Hecke lifting conjecture for framed knots
Motivated by an amazing integrality structure conjecture for the U(N) Chern–Simons quantum invariants of framed knots investigated by Mariño and Vafa, a new conjectural formula, named Hecke lifting conjecture, was proposed in Chen et al.
Shengmao Zhu
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Telescope conjecture, idempotent ideals, and the transfinite radical [PDF]
Jan Šťovíček
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The role of histone modifications in transcription regulation upon DNA damage
This review discusses the critical role of histone modifications in regulating gene expression during the DNA damage response (DDR). By modulating chromatin structure and recruiting repair factors, these post‐translational modifications fine‐tune transcriptional programmes to maintain genomic stability.
Angelina Job Kolady, Siyao Wang
wiley +1 more source
A boundedness conjecture for minimal log discrepancies on a fixed germ [PDF]
Mircea Mustaţă, Yusuke Nakamura
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