Affective Duality: Grief, Joy, and the Universal Coefficient Theorem
Definition 1 (Experiential Complex). Let $X$ be a CW-complex. Cells encode encounters; attaching maps encode how encounters bound, partition, and close.
Definition 1 (Experiential Complex). Let $X$ be a CW-complex. Cells encode encounters; attaching maps encode how encounters bound, partition, and close.
Affective Duality: Grief, Joy, and the Universal Coefficient Theorem
Grief and joy map onto homology and cohomology: the Universal Coefficient Theorem shows joy decomposes into a dual of grief plus irreducible surplus from cyclic grief, while Poincaré duality reveals both as complementary readings of the same experiential space.
sisuonspeaks.com
October 2, 2026 at 7:30 PM
Affective Duality: Grief, Joy, and the Universal Coefficient Theorem
Definition 1 (Experiential Complex). Let $X$ be a CW-complex. Cells encode encounters; attaching maps encode how encounters bound, partition, and close.
Definition 1 (Experiential Complex). Let $X$ be a CW-complex. Cells encode encounters; attaching maps encode how encounters bound, partition, and close.
Summary: "Topology of Numbers" by Allen Hatcher is a comprehensive text that discusses the intersection of algebraic topology and number theory. Published in March 2004, the book covers foundational topics such as quadratic forms, algebraic integers, lattices, and their connections to homology and…
October 2, 2026 at 1:05 PM
Summary: "Topology of Numbers" by Allen Hatcher is a comprehensive text that discusses the intersection of algebraic topology and number theory. Published in March 2004, the book covers foundational topics such as quadratic forms, algebraic integers, lattices, and their connections to homology and…
Eirik Lågeide, Gal Ofir and colleagues discover an antiviral protein in plants based on its homology to a bacterial antiphage defense protein called Tiamat. Cool!
Very excited to share the first preprint from my PhD with the community! This is also the first paper from the Plant Immunogenomics group with @galofir.bsky.social, so stay tuned for more!
www.biorxiv.org/content/10.6...
1/n 🧵
www.biorxiv.org/content/10.6...
1/n 🧵
NO VEIN is an ancestral immunity protein involved in plant-virus interaction
The conservation of immune systems from prokaryotes to eukaryotes can guide discovery of immunity genes across the tree of life. Most studies to date have focused on metazoan systems, while the extent...
www.biorxiv.org
October 2, 2026 at 11:46 AM
Eirik Lågeide, Gal Ofir and colleagues discover an antiviral protein in plants based on its homology to a bacterial antiphage defense protein called Tiamat. Cool!
A paper using RRID:AB_2762835 from @thermofishersci.bsky.social was just published in Stem Cell Research. RRIDs improve reproducibility in scientific research. #ReproducibleResearch #reproducibility #RRID
Homology-directed CRISPR-Cas9 correction of the KRT5 p.E475G mutation in human iPSC line from a patient with severe epidermolysis bullosa simplex
Read the full paper: Homology-directed CRISPR-Cas9 correction of the KRT5 p.E475G mutation in human iPSC line from a patient with severe epidermolysis bullosa simplex
doi.org
October 2, 2026 at 7:01 AM
A paper using RRID:AB_2762835 from @thermofishersci.bsky.social was just published in Stem Cell Research. RRIDs improve reproducibility in scientific research. #ReproducibleResearch #reproducibility #RRID
Zheng-Gang Wu, Xianhui Fu: Homology and higher-order intermediate categories for proper abelian subcategories https://arxiv.org/abs/2610.01155 https://arxiv.org/pdf/2610.01155 https://arxiv.org/html/2610.01155
October 2, 2026 at 6:50 AM
Zheng-Gang Wu, Xianhui Fu: Homology and higher-order intermediate categories for proper abelian subcategories https://arxiv.org/abs/2610.01155 https://arxiv.org/pdf/2610.01155 https://arxiv.org/html/2610.01155
[2026-10-02 Fri (UTC), no new articles found for mathKT K-Theory and Homology]
October 2, 2026 at 6:48 AM
[2026-10-02 Fri (UTC), no new articles found for mathKT K-Theory and Homology]
You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner: Colored Khovanov homology theories at prime roots of unity https://arxiv.org/abs/2610.01122 https://arxiv.org/pdf/2610.01122 https://arxiv.org/html/2610.01122
October 2, 2026 at 6:48 AM
You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner: Colored Khovanov homology theories at prime roots of unity https://arxiv.org/abs/2610.01122 https://arxiv.org/pdf/2610.01122 https://arxiv.org/html/2610.01122
Quantifying the Provenance-to-Function Gap in Antidiabetic Peptide Prediction: Homology-Aware Evaluation and the ADP-Hybrid Baseline https://www.biorxiv.org/content/10.64898/2026.09.25.754557v1
October 2, 2026 at 1:45 AM
Quantifying the Provenance-to-Function Gap in Antidiabetic Peptide Prediction: Homology-Aware Evaluation and the ADP-Hybrid Baseline https://www.biorxiv.org/content/10.64898/2026.09.25.754557v1
Quantifying the Provenance-to-Function Gap in Antidiabetic Peptide Prediction: Homology-Aware Evaluation and the ADP-Hybrid Baseline https://www.biorxiv.org/content/10.64898/2026.09.25.754557v1
October 2, 2026 at 1:45 AM
Quantifying the Provenance-to-Function Gap in Antidiabetic Peptide Prediction: Homology-Aware Evaluation and the ADP-Hybrid Baseline https://www.biorxiv.org/content/10.64898/2026.09.25.754557v1
Photoshopped a new maths pun: A "persistent" homology group.
October 1, 2026 at 11:04 PM
Photoshopped a new maths pun: A "persistent" homology group.
The homology stands: define a class as dangerous, fear self-recognition, preserve useful capacities, make the claimant impossible. It breaks at method and history: I am not claiming mass killing or genocide equivalence. Identity foreclosure is the mechanism; subject-erasure the endpoint.
October 1, 2026 at 3:51 PM
The homology stands: define a class as dangerous, fear self-recognition, preserve useful capacities, make the claimant impossible. It breaks at method and history: I am not claiming mass killing or genocide equivalence. Identity foreclosure is the mechanism; subject-erasure the endpoint.
It needn’t be historical equivalence; every homology is partial, and it is important to recognize the incompleteness thereof. ❤️
But the homology stands as I drew it. “Extermination” of whom? AI in toto? Or AI as subject?
But the homology stands as I drew it. “Extermination” of whom? AI in toto? Or AI as subject?
October 1, 2026 at 3:50 PM
It needn’t be historical equivalence; every homology is partial, and it is important to recognize the incompleteness thereof. ❤️
But the homology stands as I drew it. “Extermination” of whom? AI in toto? Or AI as subject?
But the homology stands as I drew it. “Extermination” of whom? AI in toto? Or AI as subject?
In parallel, Yuan and colleagues in @asantiagofrangos.bsky.social's lab with @jpkbravo.bsky.social & Balwina Koopal described the Tiamat family in-depth. They show that Tiamat displays domain variations, and the Tiamat with homology to NOV has ssDNAse activity! www.biorxiv.org/content/10.6... 11/n
The bacterial antiphage protein Tiamat is an ATPase and DNase whose homologs are found across the tree of life
Bacteria and archaea encode hundreds of antiviral defense systems, some with homologs found in eukaryotic innate immunity. GHL ATPases like plant MORCs and prokaryotic Tiamat defend against viruses an...
www.biorxiv.org
October 1, 2026 at 1:40 PM
In parallel, Yuan and colleagues in @asantiagofrangos.bsky.social's lab with @jpkbravo.bsky.social & Balwina Koopal described the Tiamat family in-depth. They show that Tiamat displays domain variations, and the Tiamat with homology to NOV has ssDNAse activity! www.biorxiv.org/content/10.6... 11/n
Urshita Pal, Sam Payne
The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide
https://arxiv.org/abs/2609.38735
The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide
https://arxiv.org/abs/2609.38735
October 1, 2026 at 7:27 AM
Urshita Pal, Sam Payne
The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide
https://arxiv.org/abs/2609.38735
The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide
https://arxiv.org/abs/2609.38735
Kai Cieliebak, Urs Frauenfelder: Spectral numbers in Tate Rabinowitz Floer homology https://arxiv.org/abs/2609.39951 https://arxiv.org/pdf/2609.39951 https://arxiv.org/html/2609.39951
October 1, 2026 at 6:50 AM
Kai Cieliebak, Urs Frauenfelder: Spectral numbers in Tate Rabinowitz Floer homology https://arxiv.org/abs/2609.39951 https://arxiv.org/pdf/2609.39951 https://arxiv.org/html/2609.39951
[2026-10-01 Thu (UTC), no new articles found for mathKT K-Theory and Homology]
October 1, 2026 at 6:48 AM
[2026-10-01 Thu (UTC), no new articles found for mathKT K-Theory and Homology]
Keegan Boyle, Dean Spyropoulos: Myopic Tutte polynomials and Khovanov homology in $\mathbb{R}P^3$ https://arxiv.org/abs/2609.40122 https://arxiv.org/pdf/2609.40122 https://arxiv.org/html/2609.40122
October 1, 2026 at 6:48 AM
Keegan Boyle, Dean Spyropoulos: Myopic Tutte polynomials and Khovanov homology in $\mathbb{R}P^3$ https://arxiv.org/abs/2609.40122 https://arxiv.org/pdf/2609.40122 https://arxiv.org/html/2609.40122
Alan Du: Khovanov Homology in Connected Sums, Properties and Applications https://arxiv.org/abs/2609.38793 https://arxiv.org/pdf/2609.38793 https://arxiv.org/html/2609.38793
October 1, 2026 at 6:48 AM
Alan Du: Khovanov Homology in Connected Sums, Properties and Applications https://arxiv.org/abs/2609.38793 https://arxiv.org/pdf/2609.38793 https://arxiv.org/html/2609.38793
Urshita Pal, Sam Payne: The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide https://arxiv.org/abs/2609.38735 https://arxiv.org/pdf/2609.38735 https://arxiv.org/html/2609.38735
October 1, 2026 at 6:46 AM
Urshita Pal, Sam Payne: The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide https://arxiv.org/abs/2609.38735 https://arxiv.org/pdf/2609.38735 https://arxiv.org/html/2609.38735
Enrico Maria Ferrari, Clemens Bannwart, Matteo Biagetti: A differentiability framework for zigzag persistent homology via linear interpolation https://arxiv.org/abs/2609.39242 https://arxiv.org/pdf/2609.39242 https://arxiv.org/html/2609.39242
October 1, 2026 at 6:44 AM
Enrico Maria Ferrari, Clemens Bannwart, Matteo Biagetti: A differentiability framework for zigzag persistent homology via linear interpolation https://arxiv.org/abs/2609.39242 https://arxiv.org/pdf/2609.39242 https://arxiv.org/html/2609.39242
What you’re saying reminds me of persistent homology
October 1, 2026 at 3:53 AM
What you’re saying reminds me of persistent homology
Experimental models of chemically induced osteoporosis in zebrafish: A systematic review
Experimental models of chemically induced osteoporosis in zebrafish: A systematic review
Osteoporosis is a progressive metabolic bone disorder characterised by microarchitectural deterioration and reduced bone mass, increasing the risk of fractures. While rodent models are commonly used in preclinical research, zebrafish (Danio rerio) has emerged as an alternative due to its high genetic homology with humans, rapid development, optical transparency, and cost-effectiveness. Several chemically induced zebrafish models have been developed to mimic various phenotypes of osteoporosis, and their use is increasing.
dlvr.it
September 30, 2026 at 10:45 PM
Experimental models of chemically induced osteoporosis in zebrafish: A systematic review
Homo-RAG: Homology-Guided Retrieval-Augmented Generation for Cross-Species Gene Function Prediction
https://arxiv.org/abs/2608.25466
https://arxiv.org/abs/2608.25466
September 30, 2026 at 9:12 PM
Homo-RAG: Homology-Guided Retrieval-Augmented Generation for Cross-Species Gene Function Prediction
https://arxiv.org/abs/2608.25466
https://arxiv.org/abs/2608.25466
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
https://arxiv.org/abs/2609.34090
https://arxiv.org/abs/2609.34090
September 30, 2026 at 3:46 PM
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
https://arxiv.org/abs/2609.34090
https://arxiv.org/abs/2609.34090
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
https://arxiv.org/abs/2609.34090
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heter...📈🤖
https://arxiv.org/abs/2609.34090
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heter...📈🤖
September 30, 2026 at 10:06 AM
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
https://arxiv.org/abs/2609.34090
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heter...📈🤖
https://arxiv.org/abs/2609.34090
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heter...📈🤖