David Baraglia

collaborators

8 papers

math.GT2026

Exotic diffeomorphisms of reducible $4$ -manifolds with odd $b_{+}$

David Baraglia

A diffeomorphism of a $4$ -manifold is said to be exotic if it is continuously isotopic to the identity but not smoothly isotopic to the identity. Ruberman constructed the first exa…

math.GT2026

Constraints on embedded spheres and real projective planes in 4-manifolds from Seiberg-Witten theory

David Baraglia

We calculate the Seiberg-Witten invariants of branched covers of prime degree, where the branch locus consists of embedded spheres. Aside from the formula itself, our calculations…

math.GT2026

Floer homotopy type and eta invariants of Seifert $3$ -manifolds fibering over $RP^{2}$

David Baraglia, Pedram Hekmati

We compute the Floer homology and Seiberg-Witten Floer homotopy type of Seifert rational homology $3$ -spheres which fiber over $RP^{2}$ . We show that they are all $L$ -spaces…

math.GT2026

An adjunction inequality for Real embedded surfaces

David Baraglia

A Real structure on a $4$ -manifold $X$ is an orientation preserving smooth involution $I ¨ $ . We say that an embedded surface $I^£ \subset X$ is Real if $I ¨ $ maps $I^£$ to itself orient…

math.GT2026

Exotic embedded surfaces and involutions from Real Seiberg-Witten theory

David Baraglia

Using Real Seiberg--Witten theory, Miyazawa introduced an invariant of certain 4-manifolds with involution and used this invariant to construct infinitely many exotic involutions o…

math.GT2025

Exotic diffeomorphisms of 4-manifolds with b_+ = 2

David Baraglia, Joshua Tomlin

Let $X$ be a compact, oriented, smooth, simply-connected $4$ -manifold. The mapping class group of $X$ is defined as the group of smooth isotopy classes of diffeomorphisms of $X$ . T…

Exotic diffeomorphisms of reducible 4-manifolds with odd b+​

Constraints on embedded spheres and real projective planes in 4-manifolds from Seiberg-Witten theory

Floer homotopy type and eta invariants of Seifert 3-manifolds fibering over RP2

An adjunction inequality for Real embedded surfaces

Exotic embedded surfaces and involutions from Real Seiberg-Witten theory

Exotic diffeomorphisms of 4-manifolds with b_+ = 2

Exotic diffeomorphisms of reducible $4$ -manifolds with odd $b_{+}$

Floer homotopy type and eta invariants of Seifert $3$ -manifolds fibering over $RP^{2}$