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... Ambidexterity theorem, certain axiomatic structures in high-order category theory are involved. I want to further explore the performance of these category theory axioms in singular geometric situations, and whether there are some implicit assumptions that fail in more complex geometric contexts?

Although my idea may definitely seem naive to you, I think it has some exploratory value. The proof of the Geometric Langlands Conjecture is very complex, and the Ambidexterity theorem is a key ...

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With less than a year left before the night of genocide, Uchiha Habara decided to run away.

As a result, he never expected to activate the system that had not been activated for fifteen years, and was kidnapped by the Uchiha clan.

Fortunately, the system is not without rewards, and the stronger Uchiha is, the richer his rewards will be.

So what he can do now is to make Uchiha great again!

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Alpha's mate is a male?!?Chapter 200: Love you all!
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**“Ace has always known he was different—rescued by human couples as a baby by the road side.Raised with a strange mark on his chest, uncanny speed, heightened senses, and an instinct he could never explain.But everything comes to a head on his eighteenth birthday when a restless fire awakens deep within him, compelling him into the forest under the light of the full moon.Drawn by an invisible force, Ace’s body trembles with anticipation, and his wolf—silent his entire life—stirs to life for the first time.Then he feels it: an overwhelming presence that fills the air, makes his heart race, and stops him in his tracks.A powerful looking but desperate man emerges from the shadows, Ace’s entire being responds.His chest burns, and the mark he always thought was a birthmark begins to glow on his chest, as if it knows the man standing before him.Kieran’s piercing silver eyes hold a mixture of relief and hunger as he steps closer.'You’re mine,' Kieran murmurs, his voice deep and reverberating with authority and raw desire.Ace doesn’t understand what’s happening, but his body does. Every fiber of his being screams for Kieran, his wolf howling for the connection they were destined to share.When Kieran touches the glowing mark on Ace’s chest, the bond between them explodes into life.Ace feels everything—the undeniable pull, the deep need to belong, and a passion so intense it takes his breath away.The world fades, leaving only Kieran and the primal connection binding them.Kieran's suppressed desires for his mate breaks free from their restrain.He tears their clothes into pieces, pulling Ace closer in his arms as he uncontrollably touches every inch of Ace's body___ feeling the satisfaction he has longed for_ for years.He devours Ace's mouth and lips as he thrust into him , every thrust igniting a hotter flame inside their bodies, they both groan and scream at the connection, at the pleasure that flows throw every vein in their bodies.In that heated moment, Kieran claims Ace, sinking his teeth into his neck to mark him as his own.The bite sends a shockwave through Ace’s body, awakening a hunger and power he never knew he possessed.Their souls collide, binding them together in a bond that is both exhilarating and terrifying.▪▪But as Ace grapples with his newfound identity as a werewolf and the mate of a powerful alpha, he’s thrust into a world of danger, loyalty, and love so overwhelming it threatens to consume him.Will he accept the destiny that ties him to Kieran, or will the weight of the bond shatter them both?”**○○●●○Alpha Kieran had been looking for his mate for nine years, he searched among the she_wolves in his pack and all other packs but never found his expected female mate__, only to find out his mate is a male , something he has forbidden in his pack.No matter how much he didn't want to mate with Ace, the pull was way much uncomfortable to him.What is he going to do now that he has found himself in the situation he had forbade others himself.

The Silent Pact of a Wolf BabysitterChapter 70: Relax! I Only Cut Off Your Wrist
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This hilarious fantasy story mixes mythological figures, cosmic entities, and a wolf babysitter with just too much contracts on his hands.It revolves around a Monstrous—though, gullible—wolf, reduced to a babysitter and a magnet for bad contracts.Ruben—formerly Ravenswood—is a classic “grumpy but good-hearted” reluctant hero. He is powerful and fearsome, but his terrible decision-making and misfortune always puts him in some kind of inconvenient pact.He got captured by a Human, who later tricked him into a lifelong contract of protecting his daughter, Alicia—whose identity is shrouded in mystery—who also turned out to be a psychotic Yandere!In an attempt to flee the suddenly-catastrophic Gihon—which is earth—with the Human’s daughter, Ruben was obstructed by Pluto, who also tricked him into an absurd pact to slay THE Cthulhu, as the ticket to let him through the other world.Ruben urgently sought to escape Gihon, so he unwisely agreed, only to recall who the all-powerful Cthulhu was. It was too late, though.Successfully crossing worlds to Pison—another type of earth—our Fenrir was met with the “Queen of the coast,” also known as Leviathan—a severe pervert.She attacked and defeated him, but when he woke up, she had apparently made a Master-servant pact with him, in his sleep.As they traveled seeking human cities in Pison, our misfortunate wolfie encountered a godman; Jobina, the daughter of Job, the second of the seven mortal powers.Jobina—a masochist with a vendetta against Leviathan, and a tendency to turn everything into a competition—attacked him for being associated with the evil Leviathan, only to be soundly defeated.Shocked by reality, Jobina protested that she also wanted a pact with Ruben, so he’ll coach her to be powerful. And when the time is right, she’ll slay Leviathan!Our easy-to-fool protagonist, and his terrible life choices, agreed, recruiting yet another troublemaker he’d have to babysit.He only wants an easy going life without problems and crisis!The story has a larger plot, where Ruben—and his babies—constantly, “accidentally,” ruin Sarvest—the antagonist—plans.Sarvest is used to dealing with gods and cosmic entities, not an unworthy—yet effective—opponent in a bubbling wolf-turned-human.Ruben later meets what we would call God—a dumb teenager who only cares about entertainment—who also duped Ruben, using his kind-heartedness, into some kind of horrible pact.“The Silent Pact of a Wolf Babysitter” is a story filled with laughs, chaos, and unexpected twists. It follows Ruben’s misadventures as he navigates a world of cosmic powers, absurd pacts, and the challenges of babysitting a group of eccentric and overpowered individuals. With a larger plot involving Satanas’s grand schemes and Ruben’s accidental heroism, this tale promises both humor and a compelling narrative.

The Peerless EmperorChapter 685 - 686: The True War
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EasternAction

Among the professional strategy warfare gamers on earth, Lin Qian easily emerged as the strongest within the industry. After all, there weren’t many who could defeat a perfect example of a hardcore casher!With a twist of fate, the extravagant gamer left the world in an unfortunate accident. Leaving behind his wealth, he was transmigrated.In this new world, Lin Qian had absolutely nothing he could be proud of. As an alchemist, his brewing pot exploded. As an iron welder, cast-iron turned scrap metals. Not to mention, his dismal talents extended to spiritual arrays and beyond. Besides his slightly above average talent in cultivation, he did not possess anything else that had even a slight semblance to a talent.Yet, life was not all bleak. On one fateful day, he discovered a revolutionary change. The mega-empire which dominated the gaming servers, the very land which he reigned over as emperor, had followed him through his transmigration. Not just so, the invulnerable generals, lieutenants, and the million men army had escaped the realm of mere codes and gained the breath of life.Now, as living beings, they swore their allegiance and lives to him, their Peerless Emperor.