Exit path categories induced by group actions. arxiv.org/abs/2511.08907

On $7$-manifolds with $b_{2}=2$: diffeomorphism classification and nonconnected moduli spaces of positive Ricci curvature metrics. arxiv.org/abs/2511.08618

On topological descriptors for graph products. arxiv.org/abs/2511.08846

Nilpotence of $\eta$ in \'etale motivic spectra. arxiv.org/abs/2511.09476

Homotopy rigidity of nearby Lagrangian cocores. arxiv.org/abs/2511.09548

Categorification of sheaf theory. arxiv.org/abs/2511.09553

Equivariant Steenrod Operations. arxiv.org/abs/2511.09816

The homotopy fixed points of Real spin bordism. arxiv.org/abs/2511.10624

Combinatorial degree version of a generalized $\mathbb{Z}_p$-Tucker's lemma with a combinatorial proof. arxiv.org/abs/2511.10319

Quantifying the homology of periodic cell complexes. arxiv.org/abs/2208.09223

Bridging between \"uberhomology and double homology. arxiv.org/abs/2406.18778

Cyclic $BV_\infty$ algebra and Frobenius manifold. arxiv.org/abs/2412.18325

Cohomological Calibration and Curvature Constraints on Product Manifolds: A Topological Lower Bound. arxiv.org/abs/2509.11834

Algebraic topology of $C^*$-algebras. arxiv.org/abs/2511.09189

Autonomous motion in changing environment, fibrations and reaction mechanisms. arxiv.org/abs/2511.11042

Hyperelliptic four-manifolds defined by vector-colorings of simple polytopes. arxiv.org/abs/2407.20575

Unexpected loss of maximality: the case of Hilbert square of real surfaces. arxiv.org/abs/2303.02796

Homology of matching complexes and representations of symmetric groups. arxiv.org/abs/2312.13750

A Representability Theorem for Stacks in Derived Geometry Contexts. arxiv.org/abs/2405.08361

On fundamental groups of spaces of framed embeddings of a circle in a 4-manifold. arxiv.org/abs/2407.06923